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Finding the Third Proportional to 14,010 and 19,640

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Solution

The third proportional to 14,010 and 19,640 is: 27,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,010 : 19,640 = 19,640 : x
  2. Step 2: Convert to fraction form
    14,010/19,640 = 19,640/x
  3. Step 3: Cross multiply
    14,010x = 19,640 × 19,640
  4. Step 4: Simplify right side
    14,010x = 385,729,600
  5. Step 5: Solve for x
    x = 385,729,600/14,010
  6. Step 6: Final answer
    x = 27,532.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.