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Finding the Third Proportional to 32,856.26 and 36,000.07

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Solution

The third proportional to 32,856.26 and 36,000.07 is: 39,444.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.26 : 36,000.07 = 36,000.07 : x
  2. Step 2: Convert to fraction form
    32,856.26/36,000.07 = 36,000.07/x
  3. Step 3: Cross multiply
    32,856.26x = 36,000.07 × 36,000.07
  4. Step 4: Simplify right side
    32,856.26x = 1,296,005,062.50
  5. Step 5: Solve for x
    x = 1,296,005,062.50/32,856.26
  6. Step 6: Final answer
    x = 39,444.69

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.