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Finding the Third Proportional to 14,787 and 32,166

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Solution

The third proportional to 14,787 and 32,166 is: 69,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787 : 32,166 = 32,166 : x
  2. Step 2: Convert to fraction form
    14,787/32,166 = 32,166/x
  3. Step 3: Cross multiply
    14,787x = 32,166 × 32,166
  4. Step 4: Simplify right side
    14,787x = 1,034,651,556
  5. Step 5: Solve for x
    x = 1,034,651,556/14,787
  6. Step 6: Final answer
    x = 69,970.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.