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Finding the Third Proportional to 16,788 and 25,705.50

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Solution

The third proportional to 16,788 and 25,705.50 is: 39,359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,788 : 25,705.50 = 25,705.50 : x
  2. Step 2: Convert to fraction form
    16,788/25,705.50 = 25,705.50/x
  3. Step 3: Cross multiply
    16,788x = 25,705.50 × 25,705.50
  4. Step 4: Simplify right side
    16,788x = 660,772,730.25
  5. Step 5: Solve for x
    x = 660,772,730.25/16,788
  6. Step 6: Final answer
    x = 39,359.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.