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Finding the Third Proportional to 21,029.63 and 32,200.88

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Solution

The third proportional to 21,029.63 and 32,200.88 is: 49,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.63 : 32,200.88 = 32,200.88 : x
  2. Step 2: Convert to fraction form
    21,029.63/32,200.88 = 32,200.88/x
  3. Step 3: Cross multiply
    21,029.63x = 32,200.88 × 32,200.88
  4. Step 4: Simplify right side
    21,029.63x = 1,036,896,350.77
  5. Step 5: Solve for x
    x = 1,036,896,350.77/21,029.63
  6. Step 6: Final answer
    x = 49,306.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.