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Finding the Third Proportional to 9,412.59 and 20,283.19

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Solution

The third proportional to 9,412.59 and 20,283.19 is: 43,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.59 : 20,283.19 = 20,283.19 : x
  2. Step 2: Convert to fraction form
    9,412.59/20,283.19 = 20,283.19/x
  3. Step 3: Cross multiply
    9,412.59x = 20,283.19 × 20,283.19
  4. Step 4: Simplify right side
    9,412.59x = 411,407,695.16
  5. Step 5: Solve for x
    x = 411,407,695.16/9,412.59
  6. Step 6: Final answer
    x = 43,708.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.