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Finding the Third Proportional to 14,360.25 and 20,421.75

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Solution

The third proportional to 14,360.25 and 20,421.75 is: 29,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,360.25 : 20,421.75 = 20,421.75 : x
  2. Step 2: Convert to fraction form
    14,360.25/20,421.75 = 20,421.75/x
  3. Step 3: Cross multiply
    14,360.25x = 20,421.75 × 20,421.75
  4. Step 4: Simplify right side
    14,360.25x = 417,047,873.06
  5. Step 5: Solve for x
    x = 417,047,873.06/14,360.25
  6. Step 6: Final answer
    x = 29,041.83

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.