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Finding the Third Proportional to 38,134.13 and 58,335.19

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Solution

The third proportional to 38,134.13 and 58,335.19 is: 89,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,134.13 : 58,335.19 = 58,335.19 : x
  2. Step 2: Convert to fraction form
    38,134.13/58,335.19 = 58,335.19/x
  3. Step 3: Cross multiply
    38,134.13x = 58,335.19 × 58,335.19
  4. Step 4: Simplify right side
    38,134.13x = 3,402,994,100.66
  5. Step 5: Solve for x
    x = 3,402,994,100.66/38,134.13
  6. Step 6: Final answer
    x = 89,237.50

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