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Finding the Third Proportional to 24,543 and 37,771.31

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Solution

The third proportional to 24,543 and 37,771.31 is: 58,129.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543 : 37,771.31 = 37,771.31 : x
  2. Step 2: Convert to fraction form
    24,543/37,771.31 = 37,771.31/x
  3. Step 3: Cross multiply
    24,543x = 37,771.31 × 37,771.31
  4. Step 4: Simplify right side
    24,543x = 1,426,672,047.97
  5. Step 5: Solve for x
    x = 1,426,672,047.97/24,543
  6. Step 6: Final answer
    x = 58,129.49

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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.