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Finding the Third Proportional to 30,023 and 40,281

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Solution

The third proportional to 30,023 and 40,281 is: 54,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023 : 40,281 = 40,281 : x
  2. Step 2: Convert to fraction form
    30,023/40,281 = 40,281/x
  3. Step 3: Cross multiply
    30,023x = 40,281 × 40,281
  4. Step 4: Simplify right side
    30,023x = 1,622,558,961
  5. Step 5: Solve for x
    x = 1,622,558,961/30,023
  6. Step 6: Final answer
    x = 54,043.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.