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Finding the Third Proportional to 13,257 and 29,106

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Solution

The third proportional to 13,257 and 29,106 is: 63,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257 : 29,106 = 29,106 : x
  2. Step 2: Convert to fraction form
    13,257/29,106 = 29,106/x
  3. Step 3: Cross multiply
    13,257x = 29,106 × 29,106
  4. Step 4: Simplify right side
    13,257x = 847,159,236
  5. Step 5: Solve for x
    x = 847,159,236/13,257
  6. Step 6: Final answer
    x = 63,902.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.