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Finding the Third Proportional to 890.25 and 1,948.13

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Solution

The third proportional to 890.25 and 1,948.13 is: 4,263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.25 : 1,948.13 = 1,948.13 : x
  2. Step 2: Convert to fraction form
    890.25/1,948.13 = 1,948.13/x
  3. Step 3: Cross multiply
    890.25x = 1,948.13 × 1,948.13
  4. Step 4: Simplify right side
    890.25x = 3,795,191.02
  5. Step 5: Solve for x
    x = 3,795,191.02/890.25
  6. Step 6: Final answer
    x = 4,263.06

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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.