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Finding the Third Proportional to 7,877.25 and 10,510.88

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Solution

The third proportional to 7,877.25 and 10,510.88 is: 14,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.25 : 10,510.88 = 10,510.88 : x
  2. Step 2: Convert to fraction form
    7,877.25/10,510.88 = 10,510.88/x
  3. Step 3: Cross multiply
    7,877.25x = 10,510.88 × 10,510.88
  4. Step 4: Simplify right side
    7,877.25x = 110,478,493.27
  5. Step 5: Solve for x
    x = 110,478,493.27/7,877.25
  6. Step 6: Final answer
    x = 14,025.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.