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Finding the Third Proportional to 2,065.50 and 2,197.13

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Solution

The third proportional to 2,065.50 and 2,197.13 is: 2,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.50 : 2,197.13 = 2,197.13 : x
  2. Step 2: Convert to fraction form
    2,065.50/2,197.13 = 2,197.13/x
  3. Step 3: Cross multiply
    2,065.50x = 2,197.13 × 2,197.13
  4. Step 4: Simplify right side
    2,065.50x = 4,827,358.27
  5. Step 5: Solve for x
    x = 4,827,358.27/2,065.50
  6. Step 6: Final answer
    x = 2,337.14

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.