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Finding the Third Proportional to 24,306 and 40,347

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Solution

The third proportional to 24,306 and 40,347 is: 66,974.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306 : 40,347 = 40,347 : x
  2. Step 2: Convert to fraction form
    24,306/40,347 = 40,347/x
  3. Step 3: Cross multiply
    24,306x = 40,347 × 40,347
  4. Step 4: Simplify right side
    24,306x = 1,627,880,409
  5. Step 5: Solve for x
    x = 1,627,880,409/24,306
  6. Step 6: Final answer
    x = 66,974.43

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.