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Finding the Third Proportional to 4,651.59 and 10,971.70

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Solution

The third proportional to 4,651.59 and 10,971.70 is: 25,878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.59 : 10,971.70 = 10,971.70 : x
  2. Step 2: Convert to fraction form
    4,651.59/10,971.70 = 10,971.70/x
  3. Step 3: Cross multiply
    4,651.59x = 10,971.70 × 10,971.70
  4. Step 4: Simplify right side
    4,651.59x = 120,378,269.46
  5. Step 5: Solve for x
    x = 120,378,269.46/4,651.59
  6. Step 6: Final answer
    x = 25,878.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.