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Finding the Third Proportional to 38,534 and 61,306

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Solution

The third proportional to 38,534 and 61,306 is: 97,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534 : 61,306 = 61,306 : x
  2. Step 2: Convert to fraction form
    38,534/61,306 = 61,306/x
  3. Step 3: Cross multiply
    38,534x = 61,306 × 61,306
  4. Step 4: Simplify right side
    38,534x = 3,758,425,636
  5. Step 5: Solve for x
    x = 3,758,425,636/38,534
  6. Step 6: Final answer
    x = 97,535.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.