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Finding the Third Proportional to 13,510.13 and 16,507.13

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Solution

The third proportional to 13,510.13 and 16,507.13 is: 20,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.13 : 16,507.13 = 16,507.13 : x
  2. Step 2: Convert to fraction form
    13,510.13/16,507.13 = 16,507.13/x
  3. Step 3: Cross multiply
    13,510.13x = 16,507.13 × 16,507.13
  4. Step 4: Simplify right side
    13,510.13x = 272,485,175.77
  5. Step 5: Solve for x
    x = 272,485,175.77/13,510.13
  6. Step 6: Final answer
    x = 20,168.96

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.