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Finding the Third Proportional to 10,677.75 and 22,934.25

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Solution

The third proportional to 10,677.75 and 22,934.25 is: 49,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.75 : 22,934.25 = 22,934.25 : x
  2. Step 2: Convert to fraction form
    10,677.75/22,934.25 = 22,934.25/x
  3. Step 3: Cross multiply
    10,677.75x = 22,934.25 × 22,934.25
  4. Step 4: Simplify right side
    10,677.75x = 525,979,823.06
  5. Step 5: Solve for x
    x = 525,979,823.06/10,677.75
  6. Step 6: Final answer
    x = 49,259.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.