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Finding the Third Proportional to 32,896.13 and 77,608.13

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Solution

The third proportional to 32,896.13 and 77,608.13 is: 183,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.13 : 77,608.13 = 77,608.13 : x
  2. Step 2: Convert to fraction form
    32,896.13/77,608.13 = 77,608.13/x
  3. Step 3: Cross multiply
    32,896.13x = 77,608.13 × 77,608.13
  4. Step 4: Simplify right side
    32,896.13x = 6,023,021,066.02
  5. Step 5: Solve for x
    x = 6,023,021,066.02/32,896.13
  6. Step 6: Final answer
    x = 183,092.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.