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Finding the Third Proportional to 38,972 and 58,953

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Solution

The third proportional to 38,972 and 58,953 is: 89,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 58,953 = 58,953 : x
  2. Step 2: Convert to fraction form
    38,972/58,953 = 58,953/x
  3. Step 3: Cross multiply
    38,972x = 58,953 × 58,953
  4. Step 4: Simplify right side
    38,972x = 3,475,456,209
  5. Step 5: Solve for x
    x = 3,475,456,209/38,972
  6. Step 6: Final answer
    x = 89,178.29

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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.