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Finding the Third Proportional to 24,306 and 37,553

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Solution

The third proportional to 24,306 and 37,553 is: 58,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 37,553 = 37,553 : x
  2. Step 2: Convert to fraction form
    24,306/37,553 = 37,553/x
  3. Step 3: Cross multiply
    24,306x = 37,553 × 37,553
  4. Step 4: Simplify right side
    24,306x = 1,410,227,809
  5. Step 5: Solve for x
    x = 1,410,227,809/24,306
  6. Step 6: Final answer
    x = 58,019.74

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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.