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Finding the Third Proportional to 24,905.88 and 53,747.50

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Solution

The third proportional to 24,905.88 and 53,747.50 is: 115,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,905.88 : 53,747.50 = 53,747.50 : x
  2. Step 2: Convert to fraction form
    24,905.88/53,747.50 = 53,747.50/x
  3. Step 3: Cross multiply
    24,905.88x = 53,747.50 × 53,747.50
  4. Step 4: Simplify right side
    24,905.88x = 2,888,793,756.25
  5. Step 5: Solve for x
    x = 2,888,793,756.25/24,905.88
  6. Step 6: Final answer
    x = 115,988.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.