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Finding the Third Proportional to 24,871 and 61,745

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Solution

The third proportional to 24,871 and 61,745 is: 153,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871 : 61,745 = 61,745 : x
  2. Step 2: Convert to fraction form
    24,871/61,745 = 61,745/x
  3. Step 3: Cross multiply
    24,871x = 61,745 × 61,745
  4. Step 4: Simplify right side
    24,871x = 3,812,445,025
  5. Step 5: Solve for x
    x = 3,812,445,025/24,871
  6. Step 6: Final answer
    x = 153,288.77

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.