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Finding the Third Proportional to 4,897.65 and 7,468.14

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Solution

The third proportional to 4,897.65 and 7,468.14 is: 11,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.65 : 7,468.14 = 7,468.14 : x
  2. Step 2: Convert to fraction form
    4,897.65/7,468.14 = 7,468.14/x
  3. Step 3: Cross multiply
    4,897.65x = 7,468.14 × 7,468.14
  4. Step 4: Simplify right side
    4,897.65x = 55,773,066.05
  5. Step 5: Solve for x
    x = 55,773,066.05/4,897.65
  6. Step 6: Final answer
    x = 11,387.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.