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Finding the Third Proportional to 5,655.66 and 12,182.06

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Solution

The third proportional to 5,655.66 and 12,182.06 is: 26,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.66 : 12,182.06 = 12,182.06 : x
  2. Step 2: Convert to fraction form
    5,655.66/12,182.06 = 12,182.06/x
  3. Step 3: Cross multiply
    5,655.66x = 12,182.06 × 12,182.06
  4. Step 4: Simplify right side
    5,655.66x = 148,402,646.75
  5. Step 5: Solve for x
    x = 148,402,646.75/5,655.66
  6. Step 6: Final answer
    x = 26,239.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.