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Finding the Third Proportional to 13,270 and 29,093

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Solution

The third proportional to 13,270 and 29,093 is: 63,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270 : 29,093 = 29,093 : x
  2. Step 2: Convert to fraction form
    13,270/29,093 = 29,093/x
  3. Step 3: Cross multiply
    13,270x = 29,093 × 29,093
  4. Step 4: Simplify right side
    13,270x = 846,402,649
  5. Step 5: Solve for x
    x = 846,402,649/13,270
  6. Step 6: Final answer
    x = 63,783.17

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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.