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Finding the Third Proportional to 16,460 and 24,692

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Solution

The third proportional to 16,460 and 24,692 is: 37,041.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460 : 24,692 = 24,692 : x
  2. Step 2: Convert to fraction form
    16,460/24,692 = 24,692/x
  3. Step 3: Cross multiply
    16,460x = 24,692 × 24,692
  4. Step 4: Simplify right side
    16,460x = 609,694,864
  5. Step 5: Solve for x
    x = 609,694,864/16,460
  6. Step 6: Final answer
    x = 37,041.00

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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.