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Finding the Third Proportional to 24,776 and 53,000

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Solution

The third proportional to 24,776 and 53,000 is: 113,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 53,000 = 53,000 : x
  2. Step 2: Convert to fraction form
    24,776/53,000 = 53,000/x
  3. Step 3: Cross multiply
    24,776x = 53,000 × 53,000
  4. Step 4: Simplify right side
    24,776x = 2,809,000,000
  5. Step 5: Solve for x
    x = 2,809,000,000/24,776
  6. Step 6: Final answer
    x = 113,375.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.