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Finding the Third Proportional to 43,648.88 and 65,837.81

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Solution

The third proportional to 43,648.88 and 65,837.81 is: 99,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,648.88 : 65,837.81 = 65,837.81 : x
  2. Step 2: Convert to fraction form
    43,648.88/65,837.81 = 65,837.81/x
  3. Step 3: Cross multiply
    43,648.88x = 65,837.81 × 65,837.81
  4. Step 4: Simplify right side
    43,648.88x = 4,334,617,554.79
  5. Step 5: Solve for x
    x = 4,334,617,554.79/43,648.88
  6. Step 6: Final answer
    x = 99,306.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.