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Finding the Third Proportional to 7,173 and 15,726.38

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Solution

The third proportional to 7,173 and 15,726.38 is: 34,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173 : 15,726.38 = 15,726.38 : x
  2. Step 2: Convert to fraction form
    7,173/15,726.38 = 15,726.38/x
  3. Step 3: Cross multiply
    7,173x = 15,726.38 × 15,726.38
  4. Step 4: Simplify right side
    7,173x = 247,318,870.64
  5. Step 5: Solve for x
    x = 247,318,870.64/7,173
  6. Step 6: Final answer
    x = 34,479.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.