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Finding the Third Proportional to 10,378 and 24,421

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Solution

The third proportional to 10,378 and 24,421 is: 57,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378 : 24,421 = 24,421 : x
  2. Step 2: Convert to fraction form
    10,378/24,421 = 24,421/x
  3. Step 3: Cross multiply
    10,378x = 24,421 × 24,421
  4. Step 4: Simplify right side
    10,378x = 596,385,241
  5. Step 5: Solve for x
    x = 596,385,241/10,378
  6. Step 6: Final answer
    x = 57,466.30

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.