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Finding the Third Proportional to 27,307.13 and 41,211.28

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Solution

The third proportional to 27,307.13 and 41,211.28 is: 62,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.13 : 41,211.28 = 41,211.28 : x
  2. Step 2: Convert to fraction form
    27,307.13/41,211.28 = 41,211.28/x
  3. Step 3: Cross multiply
    27,307.13x = 41,211.28 × 41,211.28
  4. Step 4: Simplify right side
    27,307.13x = 1,698,369,702.27
  5. Step 5: Solve for x
    x = 1,698,369,702.27/27,307.13
  6. Step 6: Final answer
    x = 62,195.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.