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Finding the Third Proportional to 3,154.08 and 4,897.69

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Solution

The third proportional to 3,154.08 and 4,897.69 is: 7,605.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.08 : 4,897.69 = 4,897.69 : x
  2. Step 2: Convert to fraction form
    3,154.08/4,897.69 = 4,897.69/x
  3. Step 3: Cross multiply
    3,154.08x = 4,897.69 × 4,897.69
  4. Step 4: Simplify right side
    3,154.08x = 23,987,342.85
  5. Step 5: Solve for x
    x = 23,987,342.85/3,154.08
  6. Step 6: Final answer
    x = 7,605.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.