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Finding the Third Proportional to 32,355 and 69,208.50

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Solution

The third proportional to 32,355 and 69,208.50 is: 148,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,355 : 69,208.50 = 69,208.50 : x
  2. Step 2: Convert to fraction form
    32,355/69,208.50 = 69,208.50/x
  3. Step 3: Cross multiply
    32,355x = 69,208.50 × 69,208.50
  4. Step 4: Simplify right side
    32,355x = 4,789,816,472.25
  5. Step 5: Solve for x
    x = 4,789,816,472.25/32,355
  6. Step 6: Final answer
    x = 148,039.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.