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Finding the Third Proportional to 30,962.25 and 69,963.75

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Solution

The third proportional to 30,962.25 and 69,963.75 is: 158,093.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962.25 : 69,963.75 = 69,963.75 : x
  2. Step 2: Convert to fraction form
    30,962.25/69,963.75 = 69,963.75/x
  3. Step 3: Cross multiply
    30,962.25x = 69,963.75 × 69,963.75
  4. Step 4: Simplify right side
    30,962.25x = 4,894,926,314.06
  5. Step 5: Solve for x
    x = 4,894,926,314.06/30,962.25
  6. Step 6: Final answer
    x = 158,093.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.