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Finding the Third Proportional to 12,909.49 and 27,369.00

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Solution

The third proportional to 12,909.49 and 27,369.00 is: 58,024.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.49 : 27,369.00 = 27,369.00 : x
  2. Step 2: Convert to fraction form
    12,909.49/27,369.00 = 27,369.00/x
  3. Step 3: Cross multiply
    12,909.49x = 27,369.00 × 27,369.00
  4. Step 4: Simplify right side
    12,909.49x = 749,062,281.27
  5. Step 5: Solve for x
    x = 749,062,281.27/12,909.49
  6. Step 6: Final answer
    x = 58,024.14

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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.