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Finding the Third Proportional to 965.75 and 2,117.13

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Solution

The third proportional to 965.75 and 2,117.13 is: 4,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.75 : 2,117.13 = 2,117.13 : x
  2. Step 2: Convert to fraction form
    965.75/2,117.13 = 2,117.13/x
  3. Step 3: Cross multiply
    965.75x = 2,117.13 × 2,117.13
  4. Step 4: Simplify right side
    965.75x = 4,482,218.27
  5. Step 5: Solve for x
    x = 4,482,218.27/965.75
  6. Step 6: Final answer
    x = 4,641.18

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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.