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Finding the Third Proportional to 16,297 and 24,601.50

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Solution

The third proportional to 16,297 and 24,601.50 is: 37,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297 : 24,601.50 = 24,601.50 : x
  2. Step 2: Convert to fraction form
    16,297/24,601.50 = 24,601.50/x
  3. Step 3: Cross multiply
    16,297x = 24,601.50 × 24,601.50
  4. Step 4: Simplify right side
    16,297x = 605,233,802.25
  5. Step 5: Solve for x
    x = 605,233,802.25/16,297
  6. Step 6: Final answer
    x = 37,137.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.