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Finding the Third Proportional to 55,850 and 73,407

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Solution

The third proportional to 55,850 and 73,407 is: 96,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,850 : 73,407 = 73,407 : x
  2. Step 2: Convert to fraction form
    55,850/73,407 = 73,407/x
  3. Step 3: Cross multiply
    55,850x = 73,407 × 73,407
  4. Step 4: Simplify right side
    55,850x = 5,388,587,649
  5. Step 5: Solve for x
    x = 5,388,587,649/55,850
  6. Step 6: Final answer
    x = 96,483.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.