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Finding the Third Proportional to 8,510.06 and 13,230.84

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Solution

The third proportional to 8,510.06 and 13,230.84 is: 20,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.06 : 13,230.84 = 13,230.84 : x
  2. Step 2: Convert to fraction form
    8,510.06/13,230.84 = 13,230.84/x
  3. Step 3: Cross multiply
    8,510.06x = 13,230.84 × 13,230.84
  4. Step 4: Simplify right side
    8,510.06x = 175,055,226.34
  5. Step 5: Solve for x
    x = 175,055,226.34/8,510.06
  6. Step 6: Final answer
    x = 20,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.