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Finding the Third Proportional to 24,561 and 37,047

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Solution

The third proportional to 24,561 and 37,047 is: 55,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561 : 37,047 = 37,047 : x
  2. Step 2: Convert to fraction form
    24,561/37,047 = 37,047/x
  3. Step 3: Cross multiply
    24,561x = 37,047 × 37,047
  4. Step 4: Simplify right side
    24,561x = 1,372,480,209
  5. Step 5: Solve for x
    x = 1,372,480,209/24,561
  6. Step 6: Final answer
    x = 55,880.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.