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Finding the Third Proportional to 29,503 and 63,717.50

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Solution

The third proportional to 29,503 and 63,717.50 is: 137,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,503 : 63,717.50 = 63,717.50 : x
  2. Step 2: Convert to fraction form
    29,503/63,717.50 = 63,717.50/x
  3. Step 3: Cross multiply
    29,503x = 63,717.50 × 63,717.50
  4. Step 4: Simplify right side
    29,503x = 4,059,919,806.25
  5. Step 5: Solve for x
    x = 4,059,919,806.25/29,503
  6. Step 6: Final answer
    x = 137,610.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.