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Finding the Third Proportional to 6,690.75 and 14,572.88

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Solution

The third proportional to 6,690.75 and 14,572.88 is: 31,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.75 : 14,572.88 = 14,572.88 : x
  2. Step 2: Convert to fraction form
    6,690.75/14,572.88 = 14,572.88/x
  3. Step 3: Cross multiply
    6,690.75x = 14,572.88 × 14,572.88
  4. Step 4: Simplify right side
    6,690.75x = 212,368,685.77
  5. Step 5: Solve for x
    x = 212,368,685.77/6,690.75
  6. Step 6: Final answer
    x = 31,740.64

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