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Finding the Third Proportional to 12,417.75 and 16,652.25

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Solution

The third proportional to 12,417.75 and 16,652.25 is: 22,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417.75 : 16,652.25 = 16,652.25 : x
  2. Step 2: Convert to fraction form
    12,417.75/16,652.25 = 16,652.25/x
  3. Step 3: Cross multiply
    12,417.75x = 16,652.25 × 16,652.25
  4. Step 4: Simplify right side
    12,417.75x = 277,297,430.06
  5. Step 5: Solve for x
    x = 277,297,430.06/12,417.75
  6. Step 6: Final answer
    x = 22,330.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.