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Finding the Third Proportional to 64,397 and 84,883.50

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Solution

The third proportional to 64,397 and 84,883.50 is: 111,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,397 : 84,883.50 = 84,883.50 : x
  2. Step 2: Convert to fraction form
    64,397/84,883.50 = 84,883.50/x
  3. Step 3: Cross multiply
    64,397x = 84,883.50 × 84,883.50
  4. Step 4: Simplify right side
    64,397x = 7,205,208,572.25
  5. Step 5: Solve for x
    x = 7,205,208,572.25/64,397
  6. Step 6: Final answer
    x = 111,887.33

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.