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Finding the Third Proportional to 24,406.13 and 53,287.50

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Solution

The third proportional to 24,406.13 and 53,287.50 is: 116,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,406.13 : 53,287.50 = 53,287.50 : x
  2. Step 2: Convert to fraction form
    24,406.13/53,287.50 = 53,287.50/x
  3. Step 3: Cross multiply
    24,406.13x = 53,287.50 × 53,287.50
  4. Step 4: Simplify right side
    24,406.13x = 2,839,557,656.25
  5. Step 5: Solve for x
    x = 2,839,557,656.25/24,406.13
  6. Step 6: Final answer
    x = 116,346.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.