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Finding the Third Proportional to 14,687.85 and 22,064.35

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Solution

The third proportional to 14,687.85 and 22,064.35 is: 33,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,687.85 : 22,064.35 = 22,064.35 : x
  2. Step 2: Convert to fraction form
    14,687.85/22,064.35 = 22,064.35/x
  3. Step 3: Cross multiply
    14,687.85x = 22,064.35 × 22,064.35
  4. Step 4: Simplify right side
    14,687.85x = 486,835,652.97
  5. Step 5: Solve for x
    x = 486,835,652.97/14,687.85
  6. Step 6: Final answer
    x = 33,145.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.