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Finding the Third Proportional to 19,748 and 43,499

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Solution

The third proportional to 19,748 and 43,499 is: 95,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,748 : 43,499 = 43,499 : x
  2. Step 2: Convert to fraction form
    19,748/43,499 = 43,499/x
  3. Step 3: Cross multiply
    19,748x = 43,499 × 43,499
  4. Step 4: Simplify right side
    19,748x = 1,892,163,001
  5. Step 5: Solve for x
    x = 1,892,163,001/19,748
  6. Step 6: Final answer
    x = 95,815.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.