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Finding the Third Proportional to 13,373 and 29,284

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Solution

The third proportional to 13,373 and 29,284 is: 64,125.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,373 : 29,284 = 29,284 : x
  2. Step 2: Convert to fraction form
    13,373/29,284 = 29,284/x
  3. Step 3: Cross multiply
    13,373x = 29,284 × 29,284
  4. Step 4: Simplify right side
    13,373x = 857,552,656
  5. Step 5: Solve for x
    x = 857,552,656/13,373
  6. Step 6: Final answer
    x = 64,125.68

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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.