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Finding the Third Proportional to 32,856.26 and 70,607.64

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Solution

The third proportional to 32,856.26 and 70,607.64 is: 151,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.26 : 70,607.64 = 70,607.64 : x
  2. Step 2: Convert to fraction form
    32,856.26/70,607.64 = 70,607.64/x
  3. Step 3: Cross multiply
    32,856.26x = 70,607.64 × 70,607.64
  4. Step 4: Simplify right side
    32,856.26x = 4,985,438,363.01
  5. Step 5: Solve for x
    x = 4,985,438,363.01/32,856.26
  6. Step 6: Final answer
    x = 151,734.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.