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Finding the Third Proportional to 6,463 and 14,387.50

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Solution

The third proportional to 6,463 and 14,387.50 is: 32,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463 : 14,387.50 = 14,387.50 : x
  2. Step 2: Convert to fraction form
    6,463/14,387.50 = 14,387.50/x
  3. Step 3: Cross multiply
    6,463x = 14,387.50 × 14,387.50
  4. Step 4: Simplify right side
    6,463x = 207,000,156.25
  5. Step 5: Solve for x
    x = 207,000,156.25/6,463
  6. Step 6: Final answer
    x = 32,028.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.