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Finding the Third Proportional to 8,571.45 and 12,948.61

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Solution

The third proportional to 8,571.45 and 12,948.61 is: 19,561.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.45 : 12,948.61 = 12,948.61 : x
  2. Step 2: Convert to fraction form
    8,571.45/12,948.61 = 12,948.61/x
  3. Step 3: Cross multiply
    8,571.45x = 12,948.61 × 12,948.61
  4. Step 4: Simplify right side
    8,571.45x = 167,666,484.75
  5. Step 5: Solve for x
    x = 167,666,484.75/8,571.45
  6. Step 6: Final answer
    x = 19,561.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.