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Finding the Third Proportional to 7,400.50 and 15,854

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Solution

The third proportional to 7,400.50 and 15,854 is: 33,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.50 : 15,854 = 15,854 : x
  2. Step 2: Convert to fraction form
    7,400.50/15,854 = 15,854/x
  3. Step 3: Cross multiply
    7,400.50x = 15,854 × 15,854
  4. Step 4: Simplify right side
    7,400.50x = 251,349,316
  5. Step 5: Solve for x
    x = 251,349,316/7,400.50
  6. Step 6: Final answer
    x = 33,963.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.