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Finding the Third Proportional to 15,106 and 32,399

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Solution

The third proportional to 15,106 and 32,399 is: 69,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106 : 32,399 = 32,399 : x
  2. Step 2: Convert to fraction form
    15,106/32,399 = 32,399/x
  3. Step 3: Cross multiply
    15,106x = 32,399 × 32,399
  4. Step 4: Simplify right side
    15,106x = 1,049,695,201
  5. Step 5: Solve for x
    x = 1,049,695,201/15,106
  6. Step 6: Final answer
    x = 69,488.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.