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Finding the Third Proportional to 38,246 and 58,470

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Solution

The third proportional to 38,246 and 58,470 is: 89,388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246 : 58,470 = 58,470 : x
  2. Step 2: Convert to fraction form
    38,246/58,470 = 58,470/x
  3. Step 3: Cross multiply
    38,246x = 58,470 × 58,470
  4. Step 4: Simplify right side
    38,246x = 3,418,740,900
  5. Step 5: Solve for x
    x = 3,418,740,900/38,246
  6. Step 6: Final answer
    x = 89,388.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.