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Finding the Third Proportional to 19,166 and 28,630

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Solution

The third proportional to 19,166 and 28,630 is: 42,767.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,166 : 28,630 = 28,630 : x
  2. Step 2: Convert to fraction form
    19,166/28,630 = 28,630/x
  3. Step 3: Cross multiply
    19,166x = 28,630 × 28,630
  4. Step 4: Simplify right side
    19,166x = 819,676,900
  5. Step 5: Solve for x
    x = 819,676,900/19,166
  6. Step 6: Final answer
    x = 42,767.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.