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Finding the Third Proportional to 983.25 and 1,444.50

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Solution

The third proportional to 983.25 and 1,444.50 is: 2,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.25 : 1,444.50 = 1,444.50 : x
  2. Step 2: Convert to fraction form
    983.25/1,444.50 = 1,444.50/x
  3. Step 3: Cross multiply
    983.25x = 1,444.50 × 1,444.50
  4. Step 4: Simplify right side
    983.25x = 2,086,580.25
  5. Step 5: Solve for x
    x = 2,086,580.25/983.25
  6. Step 6: Final answer
    x = 2,122.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.