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Finding the Third Proportional to 22,378.78 and 32,820.19

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Solution

The third proportional to 22,378.78 and 32,820.19 is: 48,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.78 : 32,820.19 = 32,820.19 : x
  2. Step 2: Convert to fraction form
    22,378.78/32,820.19 = 32,820.19/x
  3. Step 3: Cross multiply
    22,378.78x = 32,820.19 × 32,820.19
  4. Step 4: Simplify right side
    22,378.78x = 1,077,164,707.54
  5. Step 5: Solve for x
    x = 1,077,164,707.54/22,378.78
  6. Step 6: Final answer
    x = 48,133.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.