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Finding the Third Proportional to 6,156.88 and 12,751.69

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Solution

The third proportional to 6,156.88 and 12,751.69 is: 26,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.88 : 12,751.69 = 12,751.69 : x
  2. Step 2: Convert to fraction form
    6,156.88/12,751.69 = 12,751.69/x
  3. Step 3: Cross multiply
    6,156.88x = 12,751.69 × 12,751.69
  4. Step 4: Simplify right side
    6,156.88x = 162,605,534.10
  5. Step 5: Solve for x
    x = 162,605,534.10/6,156.88
  6. Step 6: Final answer
    x = 26,410.40

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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.