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Finding the Third Proportional to 58,856 and 75,568

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Solution

The third proportional to 58,856 and 75,568 is: 97,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,856 : 75,568 = 75,568 : x
  2. Step 2: Convert to fraction form
    58,856/75,568 = 75,568/x
  3. Step 3: Cross multiply
    58,856x = 75,568 × 75,568
  4. Step 4: Simplify right side
    58,856x = 5,710,522,624
  5. Step 5: Solve for x
    x = 5,710,522,624/58,856
  6. Step 6: Final answer
    x = 97,025.33

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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.