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Finding the Third Proportional to 21,557.34 and 32,203.27

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Solution

The third proportional to 21,557.34 and 32,203.27 is: 48,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,557.34 : 32,203.27 = 32,203.27 : x
  2. Step 2: Convert to fraction form
    21,557.34/32,203.27 = 32,203.27/x
  3. Step 3: Cross multiply
    21,557.34x = 32,203.27 × 32,203.27
  4. Step 4: Simplify right side
    21,557.34x = 1,037,050,316.91
  5. Step 5: Solve for x
    x = 1,037,050,316.91/21,557.34
  6. Step 6: Final answer
    x = 48,106.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.