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Finding the Third Proportional to 24,702 and 37,658

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Solution

The third proportional to 24,702 and 37,658 is: 57,409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,702 : 37,658 = 37,658 : x
  2. Step 2: Convert to fraction form
    24,702/37,658 = 37,658/x
  3. Step 3: Cross multiply
    24,702x = 37,658 × 37,658
  4. Step 4: Simplify right side
    24,702x = 1,418,124,964
  5. Step 5: Solve for x
    x = 1,418,124,964/24,702
  6. Step 6: Final answer
    x = 57,409.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.