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Finding the Third Proportional to 13,738.50 and 29,421

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Solution

The third proportional to 13,738.50 and 29,421 is: 63,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,738.50 : 29,421 = 29,421 : x
  2. Step 2: Convert to fraction form
    13,738.50/29,421 = 29,421/x
  3. Step 3: Cross multiply
    13,738.50x = 29,421 × 29,421
  4. Step 4: Simplify right side
    13,738.50x = 865,595,241
  5. Step 5: Solve for x
    x = 865,595,241/13,738.50
  6. Step 6: Final answer
    x = 63,005.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.