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Finding the Third Proportional to 38,010 and 58,473

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Solution

The third proportional to 38,010 and 58,473 is: 89,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,010 : 58,473 = 58,473 : x
  2. Step 2: Convert to fraction form
    38,010/58,473 = 58,473/x
  3. Step 3: Cross multiply
    38,010x = 58,473 × 58,473
  4. Step 4: Simplify right side
    38,010x = 3,419,091,729
  5. Step 5: Solve for x
    x = 3,419,091,729/38,010
  6. Step 6: Final answer
    x = 89,952.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.