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Finding the Third Proportional to 5,640 and 14,484

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Solution

The third proportional to 5,640 and 14,484 is: 37,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640 : 14,484 = 14,484 : x
  2. Step 2: Convert to fraction form
    5,640/14,484 = 14,484/x
  3. Step 3: Cross multiply
    5,640x = 14,484 × 14,484
  4. Step 4: Simplify right side
    5,640x = 209,786,256
  5. Step 5: Solve for x
    x = 209,786,256/5,640
  6. Step 6: Final answer
    x = 37,196.14

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.