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Finding the Third Proportional to 32,231 and 48,362.25

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Solution

The third proportional to 32,231 and 48,362.25 is: 72,567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231 : 48,362.25 = 48,362.25 : x
  2. Step 2: Convert to fraction form
    32,231/48,362.25 = 48,362.25/x
  3. Step 3: Cross multiply
    32,231x = 48,362.25 × 48,362.25
  4. Step 4: Simplify right side
    32,231x = 2,338,907,225.06
  5. Step 5: Solve for x
    x = 2,338,907,225.06/32,231
  6. Step 6: Final answer
    x = 72,567.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.