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Finding the Third Proportional to 4,354.59 and 9,407.81

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Solution

The third proportional to 4,354.59 and 9,407.81 is: 20,324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.59 : 9,407.81 = 9,407.81 : x
  2. Step 2: Convert to fraction form
    4,354.59/9,407.81 = 9,407.81/x
  3. Step 3: Cross multiply
    4,354.59x = 9,407.81 × 9,407.81
  4. Step 4: Simplify right side
    4,354.59x = 88,506,936.04
  5. Step 5: Solve for x
    x = 88,506,936.04/4,354.59
  6. Step 6: Final answer
    x = 20,324.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.