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Finding the Third Proportional to 24,417.70 and 53,254.97

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Solution

The third proportional to 24,417.70 and 53,254.97 is: 116,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417.70 : 53,254.97 = 53,254.97 : x
  2. Step 2: Convert to fraction form
    24,417.70/53,254.97 = 53,254.97/x
  3. Step 3: Cross multiply
    24,417.70x = 53,254.97 × 53,254.97
  4. Step 4: Simplify right side
    24,417.70x = 2,836,091,696.56
  5. Step 5: Solve for x
    x = 2,836,091,696.56/24,417.70
  6. Step 6: Final answer
    x = 116,149.00

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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.