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Finding the Third Proportional to 27,435.38 and 42,292.13

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Solution

The third proportional to 27,435.38 and 42,292.13 is: 65,194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435.38 : 42,292.13 = 42,292.13 : x
  2. Step 2: Convert to fraction form
    27,435.38/42,292.13 = 42,292.13/x
  3. Step 3: Cross multiply
    27,435.38x = 42,292.13 × 42,292.13
  4. Step 4: Simplify right side
    27,435.38x = 1,788,623,837.02
  5. Step 5: Solve for x
    x = 1,788,623,837.02/27,435.38
  6. Step 6: Final answer
    x = 65,194.07

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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.