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Finding the Third Proportional to 2,784.65 and 4,162.92

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Solution

The third proportional to 2,784.65 and 4,162.92 is: 6,223.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.65 : 4,162.92 = 4,162.92 : x
  2. Step 2: Convert to fraction form
    2,784.65/4,162.92 = 4,162.92/x
  3. Step 3: Cross multiply
    2,784.65x = 4,162.92 × 4,162.92
  4. Step 4: Simplify right side
    2,784.65x = 17,329,881.95
  5. Step 5: Solve for x
    x = 17,329,881.95/2,784.65
  6. Step 6: Final answer
    x = 6,223.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.