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Finding the Third Proportional to 14,738 and 32,218

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Solution

The third proportional to 14,738 and 32,218 is: 70,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,738 : 32,218 = 32,218 : x
  2. Step 2: Convert to fraction form
    14,738/32,218 = 32,218/x
  3. Step 3: Cross multiply
    14,738x = 32,218 × 32,218
  4. Step 4: Simplify right side
    14,738x = 1,037,999,524
  5. Step 5: Solve for x
    x = 1,037,999,524/14,738
  6. Step 6: Final answer
    x = 70,430.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.