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Finding the Third Proportional to 2,892.38 and 4,655.81

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Solution

The third proportional to 2,892.38 and 4,655.81 is: 7,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.38 : 4,655.81 = 4,655.81 : x
  2. Step 2: Convert to fraction form
    2,892.38/4,655.81 = 4,655.81/x
  3. Step 3: Cross multiply
    2,892.38x = 4,655.81 × 4,655.81
  4. Step 4: Simplify right side
    2,892.38x = 21,676,590.04
  5. Step 5: Solve for x
    x = 21,676,590.04/2,892.38
  6. Step 6: Final answer
    x = 7,494.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.