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Finding the Third Proportional to 15,646 and 32,586.75

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Solution

The third proportional to 15,646 and 32,586.75 is: 67,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646 : 32,586.75 = 32,586.75 : x
  2. Step 2: Convert to fraction form
    15,646/32,586.75 = 32,586.75/x
  3. Step 3: Cross multiply
    15,646x = 32,586.75 × 32,586.75
  4. Step 4: Simplify right side
    15,646x = 1,061,896,275.56
  5. Step 5: Solve for x
    x = 1,061,896,275.56/15,646
  6. Step 6: Final answer
    x = 67,870.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.