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Finding the Third Proportional to 10,677.66 and 25,501.97

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Solution

The third proportional to 10,677.66 and 25,501.97 is: 60,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.66 : 25,501.97 = 25,501.97 : x
  2. Step 2: Convert to fraction form
    10,677.66/25,501.97 = 25,501.97/x
  3. Step 3: Cross multiply
    10,677.66x = 25,501.97 × 25,501.97
  4. Step 4: Simplify right side
    10,677.66x = 650,350,410.13
  5. Step 5: Solve for x
    x = 650,350,410.13/10,677.66
  6. Step 6: Final answer
    x = 60,907.60

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.