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Finding the Third Proportional to 7,776 and 8,000.02

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Solution

The third proportional to 7,776 and 8,000.02 is: 8,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 8,000.02 = 8,000.02 : x
  2. Step 2: Convert to fraction form
    7,776/8,000.02 = 8,000.02/x
  3. Step 3: Cross multiply
    7,776x = 8,000.02 × 8,000.02
  4. Step 4: Simplify right side
    7,776x = 64,000,250.00
  5. Step 5: Solve for x
    x = 64,000,250.00/7,776
  6. Step 6: Final answer
    x = 8,230.48

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.