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Finding the Third Proportional to 24,854.50 and 54,434

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Solution

The third proportional to 24,854.50 and 54,434 is: 119,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.50 : 54,434 = 54,434 : x
  2. Step 2: Convert to fraction form
    24,854.50/54,434 = 54,434/x
  3. Step 3: Cross multiply
    24,854.50x = 54,434 × 54,434
  4. Step 4: Simplify right side
    24,854.50x = 2,963,060,356
  5. Step 5: Solve for x
    x = 2,963,060,356/24,854.50
  6. Step 6: Final answer
    x = 119,216.25

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Why These Related Problems?

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