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Finding the Third Proportional to 9,924.75 and 15,963.75

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Solution

The third proportional to 9,924.75 and 15,963.75 is: 25,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.75 : 15,963.75 = 15,963.75 : x
  2. Step 2: Convert to fraction form
    9,924.75/15,963.75 = 15,963.75/x
  3. Step 3: Cross multiply
    9,924.75x = 15,963.75 × 15,963.75
  4. Step 4: Simplify right side
    9,924.75x = 254,841,314.06
  5. Step 5: Solve for x
    x = 254,841,314.06/9,924.75
  6. Step 6: Final answer
    x = 25,677.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.