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Finding the Third Proportional to 983.81 and 1,569.38

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Solution

The third proportional to 983.81 and 1,569.38 is: 2,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.81 : 1,569.38 = 1,569.38 : x
  2. Step 2: Convert to fraction form
    983.81/1,569.38 = 1,569.38/x
  3. Step 3: Cross multiply
    983.81x = 1,569.38 × 1,569.38
  4. Step 4: Simplify right side
    983.81x = 2,462,937.89
  5. Step 5: Solve for x
    x = 2,462,937.89/983.81
  6. Step 6: Final answer
    x = 2,503.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.