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Finding the Third Proportional to 20,694.66 and 32,036.77

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Solution

The third proportional to 20,694.66 and 32,036.77 is: 49,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.66 : 32,036.77 = 32,036.77 : x
  2. Step 2: Convert to fraction form
    20,694.66/32,036.77 = 32,036.77/x
  3. Step 3: Cross multiply
    20,694.66x = 32,036.77 × 32,036.77
  4. Step 4: Simplify right side
    20,694.66x = 1,026,354,351.71
  5. Step 5: Solve for x
    x = 1,026,354,351.71/20,694.66
  6. Step 6: Final answer
    x = 49,595.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.