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Finding the Third Proportional to 24,812 and 37,798

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Solution

The third proportional to 24,812 and 37,798 is: 57,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812 : 37,798 = 37,798 : x
  2. Step 2: Convert to fraction form
    24,812/37,798 = 37,798/x
  3. Step 3: Cross multiply
    24,812x = 37,798 × 37,798
  4. Step 4: Simplify right side
    24,812x = 1,428,688,804
  5. Step 5: Solve for x
    x = 1,428,688,804/24,812
  6. Step 6: Final answer
    x = 57,580.56

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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.