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Finding the Third Proportional to 7,856.13 and 16,520.13

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Solution

The third proportional to 7,856.13 and 16,520.13 is: 34,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.13 : 16,520.13 = 16,520.13 : x
  2. Step 2: Convert to fraction form
    7,856.13/16,520.13 = 16,520.13/x
  3. Step 3: Cross multiply
    7,856.13x = 16,520.13 × 16,520.13
  4. Step 4: Simplify right side
    7,856.13x = 272,914,530.02
  5. Step 5: Solve for x
    x = 272,914,530.02/7,856.13
  6. Step 6: Final answer
    x = 34,739.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.