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Finding the Third Proportional to 5,780.74 and 12,482.86

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Solution

The third proportional to 5,780.74 and 12,482.86 is: 26,955.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.74 : 12,482.86 = 12,482.86 : x
  2. Step 2: Convert to fraction form
    5,780.74/12,482.86 = 12,482.86/x
  3. Step 3: Cross multiply
    5,780.74x = 12,482.86 × 12,482.86
  4. Step 4: Simplify right side
    5,780.74x = 155,821,778.18
  5. Step 5: Solve for x
    x = 155,821,778.18/5,780.74
  6. Step 6: Final answer
    x = 26,955.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.