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Finding the Third Proportional to 4,345.38 and 9,487.38

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Solution

The third proportional to 4,345.38 and 9,487.38 is: 20,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,345.38 : 9,487.38 = 9,487.38 : x
  2. Step 2: Convert to fraction form
    4,345.38/9,487.38 = 9,487.38/x
  3. Step 3: Cross multiply
    4,345.38x = 9,487.38 × 9,487.38
  4. Step 4: Simplify right side
    4,345.38x = 90,010,284.39
  5. Step 5: Solve for x
    x = 90,010,284.39/4,345.38
  6. Step 6: Final answer
    x = 20,714.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.