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Finding the Third Proportional to 38,169 and 58,387.50

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Solution

The third proportional to 38,169 and 58,387.50 is: 89,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,169 : 58,387.50 = 58,387.50 : x
  2. Step 2: Convert to fraction form
    38,169/58,387.50 = 58,387.50/x
  3. Step 3: Cross multiply
    38,169x = 58,387.50 × 58,387.50
  4. Step 4: Simplify right side
    38,169x = 3,409,100,156.25
  5. Step 5: Solve for x
    x = 3,409,100,156.25/38,169
  6. Step 6: Final answer
    x = 89,315.94

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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.