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Finding the Third Proportional to 3,126.52 and 6,833.95

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Solution

The third proportional to 3,126.52 and 6,833.95 is: 14,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.52 : 6,833.95 = 6,833.95 : x
  2. Step 2: Convert to fraction form
    3,126.52/6,833.95 = 6,833.95/x
  3. Step 3: Cross multiply
    3,126.52x = 6,833.95 × 6,833.95
  4. Step 4: Simplify right side
    3,126.52x = 46,702,915.31
  5. Step 5: Solve for x
    x = 46,702,915.31/3,126.52
  6. Step 6: Final answer
    x = 14,937.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.