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Finding the Third Proportional to 7,204.36 and 10,702.13

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Solution

The third proportional to 7,204.36 and 10,702.13 is: 15,898.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.36 : 10,702.13 = 10,702.13 : x
  2. Step 2: Convert to fraction form
    7,204.36/10,702.13 = 10,702.13/x
  3. Step 3: Cross multiply
    7,204.36x = 10,702.13 × 10,702.13
  4. Step 4: Simplify right side
    7,204.36x = 114,535,479.52
  5. Step 5: Solve for x
    x = 114,535,479.52/7,204.36
  6. Step 6: Final answer
    x = 15,898.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.