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Finding the Third Proportional to 15,159 and 32,731

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Solution

The third proportional to 15,159 and 32,731 is: 70,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,159 : 32,731 = 32,731 : x
  2. Step 2: Convert to fraction form
    15,159/32,731 = 32,731/x
  3. Step 3: Cross multiply
    15,159x = 32,731 × 32,731
  4. Step 4: Simplify right side
    15,159x = 1,071,318,361
  5. Step 5: Solve for x
    x = 1,071,318,361/15,159
  6. Step 6: Final answer
    x = 70,672.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.