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Finding the Third Proportional to 4,677.75 and 10,972.97

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Solution

The third proportional to 4,677.75 and 10,972.97 is: 25,740.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.75 : 10,972.97 = 10,972.97 : x
  2. Step 2: Convert to fraction form
    4,677.75/10,972.97 = 10,972.97/x
  3. Step 3: Cross multiply
    4,677.75x = 10,972.97 × 10,972.97
  4. Step 4: Simplify right side
    4,677.75x = 120,406,043.19
  5. Step 5: Solve for x
    x = 120,406,043.19/4,677.75
  6. Step 6: Final answer
    x = 25,740.16

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.