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Finding the Third Proportional to 38,506 and 57,602

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Solution

The third proportional to 38,506 and 57,602 is: 86,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506 : 57,602 = 57,602 : x
  2. Step 2: Convert to fraction form
    38,506/57,602 = 57,602/x
  3. Step 3: Cross multiply
    38,506x = 57,602 × 57,602
  4. Step 4: Simplify right side
    38,506x = 3,317,990,404
  5. Step 5: Solve for x
    x = 3,317,990,404/38,506
  6. Step 6: Final answer
    x = 86,168.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.