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Finding the Third Proportional to 992.88 and 1,566.69

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Solution

The third proportional to 992.88 and 1,566.69 is: 2,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.88 : 1,566.69 = 1,566.69 : x
  2. Step 2: Convert to fraction form
    992.88/1,566.69 = 1,566.69/x
  3. Step 3: Cross multiply
    992.88x = 1,566.69 × 1,566.69
  4. Step 4: Simplify right side
    992.88x = 2,454,503.60
  5. Step 5: Solve for x
    x = 2,454,503.60/992.88
  6. Step 6: Final answer
    x = 2,472.10

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.