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Finding the Third Proportional to 14,352.28 and 30,412.97

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Solution

The third proportional to 14,352.28 and 30,412.97 is: 64,446.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.28 : 30,412.97 = 30,412.97 : x
  2. Step 2: Convert to fraction form
    14,352.28/30,412.97 = 30,412.97/x
  3. Step 3: Cross multiply
    14,352.28x = 30,412.97 × 30,412.97
  4. Step 4: Simplify right side
    14,352.28x = 924,948,668.19
  5. Step 5: Solve for x
    x = 924,948,668.19/14,352.28
  6. Step 6: Final answer
    x = 64,446.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.