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Finding the Third Proportional to 32,355 and 70,697.25

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Solution

The third proportional to 32,355 and 70,697.25 is: 154,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355 : 70,697.25 = 70,697.25 : x
  2. Step 2: Convert to fraction form
    32,355/70,697.25 = 70,697.25/x
  3. Step 3: Cross multiply
    32,355x = 70,697.25 × 70,697.25
  4. Step 4: Simplify right side
    32,355x = 4,998,101,157.56
  5. Step 5: Solve for x
    x = 4,998,101,157.56/32,355
  6. Step 6: Final answer
    x = 154,476.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.