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Finding the Third Proportional to 918.84 and 1,578.23

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Solution

The third proportional to 918.84 and 1,578.23 is: 2,710.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.84 : 1,578.23 = 1,578.23 : x
  2. Step 2: Convert to fraction form
    918.84/1,578.23 = 1,578.23/x
  3. Step 3: Cross multiply
    918.84x = 1,578.23 × 1,578.23
  4. Step 4: Simplify right side
    918.84x = 2,490,823.74
  5. Step 5: Solve for x
    x = 2,490,823.74/918.84
  6. Step 6: Final answer
    x = 2,710.82

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.