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Finding the Third Proportional to 30,295.88 and 64,803.75

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Solution

The third proportional to 30,295.88 and 64,803.75 is: 138,617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.88 : 64,803.75 = 64,803.75 : x
  2. Step 2: Convert to fraction form
    30,295.88/64,803.75 = 64,803.75/x
  3. Step 3: Cross multiply
    30,295.88x = 64,803.75 × 64,803.75
  4. Step 4: Simplify right side
    30,295.88x = 4,199,526,014.06
  5. Step 5: Solve for x
    x = 4,199,526,014.06/30,295.88
  6. Step 6: Final answer
    x = 138,617.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.