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Finding the Third Proportional to 21,696.19 and 32,605.88

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Solution

The third proportional to 21,696.19 and 32,605.88 is: 49,001.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,696.19 : 32,605.88 = 32,605.88 : x
  2. Step 2: Convert to fraction form
    21,696.19/32,605.88 = 32,605.88/x
  3. Step 3: Cross multiply
    21,696.19x = 32,605.88 × 32,605.88
  4. Step 4: Simplify right side
    21,696.19x = 1,063,143,084.52
  5. Step 5: Solve for x
    x = 1,063,143,084.52/21,696.19
  6. Step 6: Final answer
    x = 49,001.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.