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Finding the Third Proportional to 982.13 and 2,159.16

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Solution

The third proportional to 982.13 and 2,159.16 is: 4,746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.13 : 2,159.16 = 2,159.16 : x
  2. Step 2: Convert to fraction form
    982.13/2,159.16 = 2,159.16/x
  3. Step 3: Cross multiply
    982.13x = 2,159.16 × 2,159.16
  4. Step 4: Simplify right side
    982.13x = 4,661,955.71
  5. Step 5: Solve for x
    x = 4,661,955.71/982.13
  6. Step 6: Final answer
    x = 4,746.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.