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Finding the Third Proportional to 14,384 and 31,440

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Solution

The third proportional to 14,384 and 31,440 is: 68,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,384 : 31,440 = 31,440 : x
  2. Step 2: Convert to fraction form
    14,384/31,440 = 31,440/x
  3. Step 3: Cross multiply
    14,384x = 31,440 × 31,440
  4. Step 4: Simplify right side
    14,384x = 988,473,600
  5. Step 5: Solve for x
    x = 988,473,600/14,384
  6. Step 6: Final answer
    x = 68,720.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.