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Finding the Third Proportional to 6,159.38 and 12,756.94

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Solution

The third proportional to 6,159.38 and 12,756.94 is: 26,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.38 : 12,756.94 = 12,756.94 : x
  2. Step 2: Convert to fraction form
    6,159.38/12,756.94 = 12,756.94/x
  3. Step 3: Cross multiply
    6,159.38x = 12,756.94 × 12,756.94
  4. Step 4: Simplify right side
    6,159.38x = 162,739,454.38
  5. Step 5: Solve for x
    x = 162,739,454.38/6,159.38
  6. Step 6: Final answer
    x = 26,421.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.