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Finding the Third Proportional to 14,840 and 24,900

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Solution

The third proportional to 14,840 and 24,900 is: 41,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840 : 24,900 = 24,900 : x
  2. Step 2: Convert to fraction form
    14,840/24,900 = 24,900/x
  3. Step 3: Cross multiply
    14,840x = 24,900 × 24,900
  4. Step 4: Simplify right side
    14,840x = 620,010,000
  5. Step 5: Solve for x
    x = 620,010,000/14,840
  6. Step 6: Final answer
    x = 41,779.65

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.