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Finding the Third Proportional to 7,728.54 and 16,710.05

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Solution

The third proportional to 7,728.54 and 16,710.05 is: 36,129.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.54 : 16,710.05 = 16,710.05 : x
  2. Step 2: Convert to fraction form
    7,728.54/16,710.05 = 16,710.05/x
  3. Step 3: Cross multiply
    7,728.54x = 16,710.05 × 16,710.05
  4. Step 4: Simplify right side
    7,728.54x = 279,225,666.56
  5. Step 5: Solve for x
    x = 279,225,666.56/7,728.54
  6. Step 6: Final answer
    x = 36,129.17

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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.