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Finding the Third Proportional to 16,125 and 34,207.50

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Solution

The third proportional to 16,125 and 34,207.50 is: 72,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,125 : 34,207.50 = 34,207.50 : x
  2. Step 2: Convert to fraction form
    16,125/34,207.50 = 34,207.50/x
  3. Step 3: Cross multiply
    16,125x = 34,207.50 × 34,207.50
  4. Step 4: Simplify right side
    16,125x = 1,170,153,056.25
  5. Step 5: Solve for x
    x = 1,170,153,056.25/16,125
  6. Step 6: Final answer
    x = 72,567.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.