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Finding the Third Proportional to 24,160 and 34,023

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Solution

The third proportional to 24,160 and 34,023 is: 47,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,160 : 34,023 = 34,023 : x
  2. Step 2: Convert to fraction form
    24,160/34,023 = 34,023/x
  3. Step 3: Cross multiply
    24,160x = 34,023 × 34,023
  4. Step 4: Simplify right side
    24,160x = 1,157,564,529
  5. Step 5: Solve for x
    x = 1,157,564,529/24,160
  6. Step 6: Final answer
    x = 47,912.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.