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Finding the Third Proportional to 24,499.88 and 53,670

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Solution

The third proportional to 24,499.88 and 53,670 is: 117,570.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.88 : 53,670 = 53,670 : x
  2. Step 2: Convert to fraction form
    24,499.88/53,670 = 53,670/x
  3. Step 3: Cross multiply
    24,499.88x = 53,670 × 53,670
  4. Step 4: Simplify right side
    24,499.88x = 2,880,468,900
  5. Step 5: Solve for x
    x = 2,880,468,900/24,499.88
  6. Step 6: Final answer
    x = 117,570.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.