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Finding the Third Proportional to 10,206 and 15,605.16

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Solution

The third proportional to 10,206 and 15,605.16 is: 23,860.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206 : 15,605.16 = 15,605.16 : x
  2. Step 2: Convert to fraction form
    10,206/15,605.16 = 15,605.16/x
  3. Step 3: Cross multiply
    10,206x = 15,605.16 × 15,605.16
  4. Step 4: Simplify right side
    10,206x = 243,520,901.59
  5. Step 5: Solve for x
    x = 243,520,901.59/10,206
  6. Step 6: Final answer
    x = 23,860.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.