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Finding the Third Proportional to 22,943.25 and 48,643.88

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Solution

The third proportional to 22,943.25 and 48,643.88 is: 103,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.25 : 48,643.88 = 48,643.88 : x
  2. Step 2: Convert to fraction form
    22,943.25/48,643.88 = 48,643.88/x
  3. Step 3: Cross multiply
    22,943.25x = 48,643.88 × 48,643.88
  4. Step 4: Simplify right side
    22,943.25x = 2,366,226,575.02
  5. Step 5: Solve for x
    x = 2,366,226,575.02/22,943.25
  6. Step 6: Final answer
    x = 103,133.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.