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Finding the Third Proportional to 19,426 and 28,499

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Solution

The third proportional to 19,426 and 28,499 is: 41,809.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,426 : 28,499 = 28,499 : x
  2. Step 2: Convert to fraction form
    19,426/28,499 = 28,499/x
  3. Step 3: Cross multiply
    19,426x = 28,499 × 28,499
  4. Step 4: Simplify right side
    19,426x = 812,193,001
  5. Step 5: Solve for x
    x = 812,193,001/19,426
  6. Step 6: Final answer
    x = 41,809.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.