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Finding the Third Proportional to 47,023 and 69,030

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Solution

The third proportional to 47,023 and 69,030 is: 101,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,023 : 69,030 = 69,030 : x
  2. Step 2: Convert to fraction form
    47,023/69,030 = 69,030/x
  3. Step 3: Cross multiply
    47,023x = 69,030 × 69,030
  4. Step 4: Simplify right side
    47,023x = 4,765,140,900
  5. Step 5: Solve for x
    x = 4,765,140,900/47,023
  6. Step 6: Final answer
    x = 101,336.39

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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.