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Finding the Third Proportional to 12,423.38 and 27,307.13

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Solution

The third proportional to 12,423.38 and 27,307.13 is: 60,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.38 : 27,307.13 = 27,307.13 : x
  2. Step 2: Convert to fraction form
    12,423.38/27,307.13 = 27,307.13/x
  3. Step 3: Cross multiply
    12,423.38x = 27,307.13 × 27,307.13
  4. Step 4: Simplify right side
    12,423.38x = 745,679,075.77
  5. Step 5: Solve for x
    x = 745,679,075.77/12,423.38
  6. Step 6: Final answer
    x = 60,022.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.