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Finding the Third Proportional to 14,331.30 and 30,403.48

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Solution

The third proportional to 14,331.30 and 30,403.48 is: 64,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,331.30 : 30,403.48 = 30,403.48 : x
  2. Step 2: Convert to fraction form
    14,331.30/30,403.48 = 30,403.48/x
  3. Step 3: Cross multiply
    14,331.30x = 30,403.48 × 30,403.48
  4. Step 4: Simplify right side
    14,331.30x = 924,371,387.09
  5. Step 5: Solve for x
    x = 924,371,387.09/14,331.30
  6. Step 6: Final answer
    x = 64,500.16

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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.