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Finding the Third Proportional to 2,948.91 and 6,320.95

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Solution

The third proportional to 2,948.91 and 6,320.95 is: 13,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.91 : 6,320.95 = 6,320.95 : x
  2. Step 2: Convert to fraction form
    2,948.91/6,320.95 = 6,320.95/x
  3. Step 3: Cross multiply
    2,948.91x = 6,320.95 × 6,320.95
  4. Step 4: Simplify right side
    2,948.91x = 39,954,448.41
  5. Step 5: Solve for x
    x = 39,954,448.41/2,948.91
  6. Step 6: Final answer
    x = 13,548.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.