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Finding the Third Proportional to 13,278 and 29,108

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Solution

The third proportional to 13,278 and 29,108 is: 63,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278 : 29,108 = 29,108 : x
  2. Step 2: Convert to fraction form
    13,278/29,108 = 29,108/x
  3. Step 3: Cross multiply
    13,278x = 29,108 × 29,108
  4. Step 4: Simplify right side
    13,278x = 847,275,664
  5. Step 5: Solve for x
    x = 847,275,664/13,278
  6. Step 6: Final answer
    x = 63,810.49

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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.