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Finding the Third Proportional to 21,595.13 and 32,694.66

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Solution

The third proportional to 21,595.13 and 32,694.66 is: 49,499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,595.13 : 32,694.66 = 32,694.66 : x
  2. Step 2: Convert to fraction form
    21,595.13/32,694.66 = 32,694.66/x
  3. Step 3: Cross multiply
    21,595.13x = 32,694.66 × 32,694.66
  4. Step 4: Simplify right side
    21,595.13x = 1,068,940,547.31
  5. Step 5: Solve for x
    x = 1,068,940,547.31/21,595.13
  6. Step 6: Final answer
    x = 49,499.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.