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Finding the Third Proportional to 14,775.75 and 24,364.13

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Solution

The third proportional to 14,775.75 and 24,364.13 is: 40,174.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.75 : 24,364.13 = 24,364.13 : x
  2. Step 2: Convert to fraction form
    14,775.75/24,364.13 = 24,364.13/x
  3. Step 3: Cross multiply
    14,775.75x = 24,364.13 × 24,364.13
  4. Step 4: Simplify right side
    14,775.75x = 593,610,587.02
  5. Step 5: Solve for x
    x = 593,610,587.02/14,775.75
  6. Step 6: Final answer
    x = 40,174.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.