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Finding the Third Proportional to 32,852.67 and 70,703.30

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Solution

The third proportional to 32,852.67 and 70,703.30 is: 152,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,852.67 : 70,703.30 = 70,703.30 : x
  2. Step 2: Convert to fraction form
    32,852.67/70,703.30 = 70,703.30/x
  3. Step 3: Cross multiply
    32,852.67x = 70,703.30 × 70,703.30
  4. Step 4: Simplify right side
    32,852.67x = 4,998,956,188.99
  5. Step 5: Solve for x
    x = 4,998,956,188.99/32,852.67
  6. Step 6: Final answer
    x = 152,162.85

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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.