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Finding the Third Proportional to 24,782.63 and 38,387.25

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Solution

The third proportional to 24,782.63 and 38,387.25 is: 59,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.63 : 38,387.25 = 38,387.25 : x
  2. Step 2: Convert to fraction form
    24,782.63/38,387.25 = 38,387.25/x
  3. Step 3: Cross multiply
    24,782.63x = 38,387.25 × 38,387.25
  4. Step 4: Simplify right side
    24,782.63x = 1,473,580,962.56
  5. Step 5: Solve for x
    x = 1,473,580,962.56/24,782.63
  6. Step 6: Final answer
    x = 59,460.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.