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Finding the Third Proportional to 24,570 and 37,769

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Solution

The third proportional to 24,570 and 37,769 is: 58,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 37,769 = 37,769 : x
  2. Step 2: Convert to fraction form
    24,570/37,769 = 37,769/x
  3. Step 3: Cross multiply
    24,570x = 37,769 × 37,769
  4. Step 4: Simplify right side
    24,570x = 1,426,497,361
  5. Step 5: Solve for x
    x = 1,426,497,361/24,570
  6. Step 6: Final answer
    x = 58,058.50

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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.