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Finding the Third Proportional to 32,887.69 and 48,102.19

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Solution

The third proportional to 32,887.69 and 48,102.19 is: 70,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,887.69 : 48,102.19 = 48,102.19 : x
  2. Step 2: Convert to fraction form
    32,887.69/48,102.19 = 48,102.19/x
  3. Step 3: Cross multiply
    32,887.69x = 48,102.19 × 48,102.19
  4. Step 4: Simplify right side
    32,887.69x = 2,313,820,442.29
  5. Step 5: Solve for x
    x = 2,313,820,442.29/32,887.69
  6. Step 6: Final answer
    x = 70,355.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.