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Finding the Third Proportional to 58,855 and 75,568.75

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Solution

The third proportional to 58,855 and 75,568.75 is: 97,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,855 : 75,568.75 = 75,568.75 : x
  2. Step 2: Convert to fraction form
    58,855/75,568.75 = 75,568.75/x
  3. Step 3: Cross multiply
    58,855x = 75,568.75 × 75,568.75
  4. Step 4: Simplify right side
    58,855x = 5,710,635,976.56
  5. Step 5: Solve for x
    x = 5,710,635,976.56/58,855
  6. Step 6: Final answer
    x = 97,028.90

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.