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Finding the Third Proportional to 10,024 and 14,328

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Solution

The third proportional to 10,024 and 14,328 is: 20,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024 : 14,328 = 14,328 : x
  2. Step 2: Convert to fraction form
    10,024/14,328 = 14,328/x
  3. Step 3: Cross multiply
    10,024x = 14,328 × 14,328
  4. Step 4: Simplify right side
    10,024x = 205,291,584
  5. Step 5: Solve for x
    x = 205,291,584/10,024
  6. Step 6: Final answer
    x = 20,480.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.