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Finding the Third Proportional to 8,510.06 and 13,207.22

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Solution

The third proportional to 8,510.06 and 13,207.22 is: 20,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.06 : 13,207.22 = 13,207.22 : x
  2. Step 2: Convert to fraction form
    8,510.06/13,207.22 = 13,207.22/x
  3. Step 3: Cross multiply
    8,510.06x = 13,207.22 × 13,207.22
  4. Step 4: Simplify right side
    8,510.06x = 174,430,627.11
  5. Step 5: Solve for x
    x = 174,430,627.11/8,510.06
  6. Step 6: Final answer
    x = 20,496.99

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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.