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Finding the Third Proportional to 47,020 and 72,022

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Solution

The third proportional to 47,020 and 72,022 is: 110,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,020 : 72,022 = 72,022 : x
  2. Step 2: Convert to fraction form
    47,020/72,022 = 72,022/x
  3. Step 3: Cross multiply
    47,020x = 72,022 × 72,022
  4. Step 4: Simplify right side
    47,020x = 5,187,168,484
  5. Step 5: Solve for x
    x = 5,187,168,484/47,020
  6. Step 6: Final answer
    x = 110,318.34

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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.