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Finding the Third Proportional to 27,862.31 and 42,326.72

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Solution

The third proportional to 27,862.31 and 42,326.72 is: 64,300.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.31 : 42,326.72 = 42,326.72 : x
  2. Step 2: Convert to fraction form
    27,862.31/42,326.72 = 42,326.72/x
  3. Step 3: Cross multiply
    27,862.31x = 42,326.72 × 42,326.72
  4. Step 4: Simplify right side
    27,862.31x = 1,791,551,120.14
  5. Step 5: Solve for x
    x = 1,791,551,120.14/27,862.31
  6. Step 6: Final answer
    x = 64,300.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.