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Finding the Third Proportional to 24,690 and 37,991

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Solution

The third proportional to 24,690 and 37,991 is: 58,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,690 : 37,991 = 37,991 : x
  2. Step 2: Convert to fraction form
    24,690/37,991 = 37,991/x
  3. Step 3: Cross multiply
    24,690x = 37,991 × 37,991
  4. Step 4: Simplify right side
    24,690x = 1,443,316,081
  5. Step 5: Solve for x
    x = 1,443,316,081/24,690
  6. Step 6: Final answer
    x = 58,457.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.