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Finding the Third Proportional to 10,179 and 13,510.13

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Solution

The third proportional to 10,179 and 13,510.13 is: 17,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179 : 13,510.13 = 13,510.13 : x
  2. Step 2: Convert to fraction form
    10,179/13,510.13 = 13,510.13/x
  3. Step 3: Cross multiply
    10,179x = 13,510.13 × 13,510.13
  4. Step 4: Simplify right side
    10,179x = 182,523,477.52
  5. Step 5: Solve for x
    x = 182,523,477.52/10,179
  6. Step 6: Final answer
    x = 17,931.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.