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Finding the Third Proportional to 1,752.61 and 2,920.92

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Solution

The third proportional to 1,752.61 and 2,920.92 is: 4,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.61 : 2,920.92 = 2,920.92 : x
  2. Step 2: Convert to fraction form
    1,752.61/2,920.92 = 2,920.92/x
  3. Step 3: Cross multiply
    1,752.61x = 2,920.92 × 2,920.92
  4. Step 4: Simplify right side
    1,752.61x = 8,531,784.60
  5. Step 5: Solve for x
    x = 8,531,784.60/1,752.61
  6. Step 6: Final answer
    x = 4,868.05

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.