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Finding the Third Proportional to 24,134 and 37,506

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Solution

The third proportional to 24,134 and 37,506 is: 58,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,134 : 37,506 = 37,506 : x
  2. Step 2: Convert to fraction form
    24,134/37,506 = 37,506/x
  3. Step 3: Cross multiply
    24,134x = 37,506 × 37,506
  4. Step 4: Simplify right side
    24,134x = 1,406,700,036
  5. Step 5: Solve for x
    x = 1,406,700,036/24,134
  6. Step 6: Final answer
    x = 58,287.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.