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Finding the Third Proportional to 16,787.50 and 35,303

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Solution

The third proportional to 16,787.50 and 35,303 is: 74,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,787.50 : 35,303 = 35,303 : x
  2. Step 2: Convert to fraction form
    16,787.50/35,303 = 35,303/x
  3. Step 3: Cross multiply
    16,787.50x = 35,303 × 35,303
  4. Step 4: Simplify right side
    16,787.50x = 1,246,301,809
  5. Step 5: Solve for x
    x = 1,246,301,809/16,787.50
  6. Step 6: Final answer
    x = 74,239.87

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.