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Finding the Third Proportional to 22,152.87 and 32,881.89

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Solution

The third proportional to 22,152.87 and 32,881.89 is: 48,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.87 : 32,881.89 = 32,881.89 : x
  2. Step 2: Convert to fraction form
    22,152.87/32,881.89 = 32,881.89/x
  3. Step 3: Cross multiply
    22,152.87x = 32,881.89 × 32,881.89
  4. Step 4: Simplify right side
    22,152.87x = 1,081,218,474.18
  5. Step 5: Solve for x
    x = 1,081,218,474.18/22,152.87
  6. Step 6: Final answer
    x = 48,807.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.