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Finding the Third Proportional to 15,735 and 34,062

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Solution

The third proportional to 15,735 and 34,062 is: 73,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735 : 34,062 = 34,062 : x
  2. Step 2: Convert to fraction form
    15,735/34,062 = 34,062/x
  3. Step 3: Cross multiply
    15,735x = 34,062 × 34,062
  4. Step 4: Simplify right side
    15,735x = 1,160,219,844
  5. Step 5: Solve for x
    x = 1,160,219,844/15,735
  6. Step 6: Final answer
    x = 73,734.98

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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.