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Finding the Third Proportional to 19,342 and 28,940

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Solution

The third proportional to 19,342 and 28,940 is: 43,300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,342 : 28,940 = 28,940 : x
  2. Step 2: Convert to fraction form
    19,342/28,940 = 28,940/x
  3. Step 3: Cross multiply
    19,342x = 28,940 × 28,940
  4. Step 4: Simplify right side
    19,342x = 837,523,600
  5. Step 5: Solve for x
    x = 837,523,600/19,342
  6. Step 6: Final answer
    x = 43,300.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.