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Finding the Third Proportional to 16,478 and 25,536.50

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Solution

The third proportional to 16,478 and 25,536.50 is: 39,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478 : 25,536.50 = 25,536.50 : x
  2. Step 2: Convert to fraction form
    16,478/25,536.50 = 25,536.50/x
  3. Step 3: Cross multiply
    16,478x = 25,536.50 × 25,536.50
  4. Step 4: Simplify right side
    16,478x = 652,112,832.25
  5. Step 5: Solve for x
    x = 652,112,832.25/16,478
  6. Step 6: Final answer
    x = 39,574.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.