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Finding the Third Proportional to 10,588 and 24,994

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Solution

The third proportional to 10,588 and 24,994 is: 59,000.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 24,994 = 24,994 : x
  2. Step 2: Convert to fraction form
    10,588/24,994 = 24,994/x
  3. Step 3: Cross multiply
    10,588x = 24,994 × 24,994
  4. Step 4: Simplify right side
    10,588x = 624,700,036
  5. Step 5: Solve for x
    x = 624,700,036/10,588
  6. Step 6: Final answer
    x = 59,000.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.