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Finding the Third Proportional to 21,106.38 and 33,421.38

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Solution

The third proportional to 21,106.38 and 33,421.38 is: 52,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.38 : 33,421.38 = 33,421.38 : x
  2. Step 2: Convert to fraction form
    21,106.38/33,421.38 = 33,421.38/x
  3. Step 3: Cross multiply
    21,106.38x = 33,421.38 × 33,421.38
  4. Step 4: Simplify right side
    21,106.38x = 1,116,988,306.89
  5. Step 5: Solve for x
    x = 1,116,988,306.89/21,106.38
  6. Step 6: Final answer
    x = 52,921.85

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.