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Finding the Third Proportional to 38,302.88 and 58,264.31

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Solution

The third proportional to 38,302.88 and 58,264.31 is: 88,628.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,302.88 : 58,264.31 = 58,264.31 : x
  2. Step 2: Convert to fraction form
    38,302.88/58,264.31 = 58,264.31/x
  3. Step 3: Cross multiply
    38,302.88x = 58,264.31 × 58,264.31
  4. Step 4: Simplify right side
    38,302.88x = 3,394,730,111.10
  5. Step 5: Solve for x
    x = 3,394,730,111.10/38,302.88
  6. Step 6: Final answer
    x = 88,628.60

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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.