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Finding the Third Proportional to 846.19 and 2,101.13

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Solution

The third proportional to 846.19 and 2,101.13 is: 5,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.19 : 2,101.13 = 2,101.13 : x
  2. Step 2: Convert to fraction form
    846.19/2,101.13 = 2,101.13/x
  3. Step 3: Cross multiply
    846.19x = 2,101.13 × 2,101.13
  4. Step 4: Simplify right side
    846.19x = 4,414,726.27
  5. Step 5: Solve for x
    x = 4,414,726.27/846.19
  6. Step 6: Final answer
    x = 5,217.20

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.