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Finding the Third Proportional to 3,586.13 and 7,864.50

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Solution

The third proportional to 3,586.13 and 7,864.50 is: 17,247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.13 : 7,864.50 = 7,864.50 : x
  2. Step 2: Convert to fraction form
    3,586.13/7,864.50 = 7,864.50/x
  3. Step 3: Cross multiply
    3,586.13x = 7,864.50 × 7,864.50
  4. Step 4: Simplify right side
    3,586.13x = 61,850,360.25
  5. Step 5: Solve for x
    x = 61,850,360.25/3,586.13
  6. Step 6: Final answer
    x = 17,247.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.