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Finding the Third Proportional to 52,407 and 72,333

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Solution

The third proportional to 52,407 and 72,333 is: 99,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 72,333 = 72,333 : x
  2. Step 2: Convert to fraction form
    52,407/72,333 = 72,333/x
  3. Step 3: Cross multiply
    52,407x = 72,333 × 72,333
  4. Step 4: Simplify right side
    52,407x = 5,232,062,889
  5. Step 5: Solve for x
    x = 5,232,062,889/52,407
  6. Step 6: Final answer
    x = 99,835.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.