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Finding the Third Proportional to 27,316.97 and 42,188.34

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Solution

The third proportional to 27,316.97 and 42,188.34 is: 65,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.97 : 42,188.34 = 42,188.34 : x
  2. Step 2: Convert to fraction form
    27,316.97/42,188.34 = 42,188.34/x
  3. Step 3: Cross multiply
    27,316.97x = 42,188.34 × 42,188.34
  4. Step 4: Simplify right side
    27,316.97x = 1,779,856,348.37
  5. Step 5: Solve for x
    x = 1,779,856,348.37/27,316.97
  6. Step 6: Final answer
    x = 65,155.70

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