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Finding the Third Proportional to 19,374 and 28,932

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Solution

The third proportional to 19,374 and 28,932 is: 43,205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374 : 28,932 = 28,932 : x
  2. Step 2: Convert to fraction form
    19,374/28,932 = 28,932/x
  3. Step 3: Cross multiply
    19,374x = 28,932 × 28,932
  4. Step 4: Simplify right side
    19,374x = 837,060,624
  5. Step 5: Solve for x
    x = 837,060,624/19,374
  6. Step 6: Final answer
    x = 43,205.36

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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.