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Finding the Third Proportional to 32,020 and 47,201

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Solution

The third proportional to 32,020 and 47,201 is: 69,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020 : 47,201 = 47,201 : x
  2. Step 2: Convert to fraction form
    32,020/47,201 = 47,201/x
  3. Step 3: Cross multiply
    32,020x = 47,201 × 47,201
  4. Step 4: Simplify right side
    32,020x = 2,227,934,401
  5. Step 5: Solve for x
    x = 2,227,934,401/32,020
  6. Step 6: Final answer
    x = 69,579.46

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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.