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Finding the Third Proportional to 32,201 and 49,262

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Solution

The third proportional to 32,201 and 49,262 is: 75,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201 : 49,262 = 49,262 : x
  2. Step 2: Convert to fraction form
    32,201/49,262 = 49,262/x
  3. Step 3: Cross multiply
    32,201x = 49,262 × 49,262
  4. Step 4: Simplify right side
    32,201x = 2,426,744,644
  5. Step 5: Solve for x
    x = 2,426,744,644/32,201
  6. Step 6: Final answer
    x = 75,362.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.