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Finding the Third Proportional to 58,858 and 75,571

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Solution

The third proportional to 58,858 and 75,571 is: 97,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,858 : 75,571 = 75,571 : x
  2. Step 2: Convert to fraction form
    58,858/75,571 = 75,571/x
  3. Step 3: Cross multiply
    58,858x = 75,571 × 75,571
  4. Step 4: Simplify right side
    58,858x = 5,710,976,041
  5. Step 5: Solve for x
    x = 5,710,976,041/58,858
  6. Step 6: Final answer
    x = 97,029.73

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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.