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Finding the Third Proportional to 21,907.13 and 32,823.56

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Solution

The third proportional to 21,907.13 and 32,823.56 is: 49,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.13 : 32,823.56 = 32,823.56 : x
  2. Step 2: Convert to fraction form
    21,907.13/32,823.56 = 32,823.56/x
  3. Step 3: Cross multiply
    21,907.13x = 32,823.56 × 32,823.56
  4. Step 4: Simplify right side
    21,907.13x = 1,077,386,255.19
  5. Step 5: Solve for x
    x = 1,077,386,255.19/21,907.13
  6. Step 6: Final answer
    x = 49,179.72

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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.