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Finding the Third Proportional to 21,123.28 and 32,696.16

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Solution

The third proportional to 21,123.28 and 32,696.16 is: 50,609.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,123.28 : 32,696.16 = 32,696.16 : x
  2. Step 2: Convert to fraction form
    21,123.28/32,696.16 = 32,696.16/x
  3. Step 3: Cross multiply
    21,123.28x = 32,696.16 × 32,696.16
  4. Step 4: Simplify right side
    21,123.28x = 1,069,038,633.52
  5. Step 5: Solve for x
    x = 1,069,038,633.52/21,123.28
  6. Step 6: Final answer
    x = 50,609.50

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