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Finding the Third Proportional to 32,203.50 and 47,373

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Solution

The third proportional to 32,203.50 and 47,373 is: 69,688.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.50 : 47,373 = 47,373 : x
  2. Step 2: Convert to fraction form
    32,203.50/47,373 = 47,373/x
  3. Step 3: Cross multiply
    32,203.50x = 47,373 × 47,373
  4. Step 4: Simplify right side
    32,203.50x = 2,244,201,129
  5. Step 5: Solve for x
    x = 2,244,201,129/32,203.50
  6. Step 6: Final answer
    x = 69,688.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.