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Finding the Third Proportional to 21,582.56 and 32,823.84

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Solution

The third proportional to 21,582.56 and 32,823.84 is: 49,920.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,582.56 : 32,823.84 = 32,823.84 : x
  2. Step 2: Convert to fraction form
    21,582.56/32,823.84 = 32,823.84/x
  3. Step 3: Cross multiply
    21,582.56x = 32,823.84 × 32,823.84
  4. Step 4: Simplify right side
    21,582.56x = 1,077,404,718.52
  5. Step 5: Solve for x
    x = 1,077,404,718.52/21,582.56
  6. Step 6: Final answer
    x = 49,920.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.