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Finding the Third Proportional to 7,728.75 and 8,822.25

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Solution

The third proportional to 7,728.75 and 8,822.25 is: 10,070.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.75 : 8,822.25 = 8,822.25 : x
  2. Step 2: Convert to fraction form
    7,728.75/8,822.25 = 8,822.25/x
  3. Step 3: Cross multiply
    7,728.75x = 8,822.25 × 8,822.25
  4. Step 4: Simplify right side
    7,728.75x = 77,832,095.06
  5. Step 5: Solve for x
    x = 77,832,095.06/7,728.75
  6. Step 6: Final answer
    x = 10,070.46

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.