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Finding the Third Proportional to 6,332.34 and 13,779.28

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Solution

The third proportional to 6,332.34 and 13,779.28 is: 29,983.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.34 : 13,779.28 = 13,779.28 : x
  2. Step 2: Convert to fraction form
    6,332.34/13,779.28 = 13,779.28/x
  3. Step 3: Cross multiply
    6,332.34x = 13,779.28 × 13,779.28
  4. Step 4: Simplify right side
    6,332.34x = 189,868,591.77
  5. Step 5: Solve for x
    x = 189,868,591.77/6,332.34
  6. Step 6: Final answer
    x = 29,983.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.