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Finding the Third Proportional to 10,582.50 and 24,606

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Solution

The third proportional to 10,582.50 and 24,606 is: 57,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,582.50 : 24,606 = 24,606 : x
  2. Step 2: Convert to fraction form
    10,582.50/24,606 = 24,606/x
  3. Step 3: Cross multiply
    10,582.50x = 24,606 × 24,606
  4. Step 4: Simplify right side
    10,582.50x = 605,455,236
  5. Step 5: Solve for x
    x = 605,455,236/10,582.50
  6. Step 6: Final answer
    x = 57,212.87

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.