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Finding the Third Proportional to 15,645.38 and 32,585.63

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Solution

The third proportional to 15,645.38 and 32,585.63 is: 67,868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645.38 : 32,585.63 = 32,585.63 : x
  2. Step 2: Convert to fraction form
    15,645.38/32,585.63 = 32,585.63/x
  3. Step 3: Cross multiply
    15,645.38x = 32,585.63 × 32,585.63
  4. Step 4: Simplify right side
    15,645.38x = 1,061,822,956.64
  5. Step 5: Solve for x
    x = 1,061,822,956.64/15,645.38
  6. Step 6: Final answer
    x = 67,868.17

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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.