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Finding the Third Proportional to 10,735 and 26,107

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Solution

The third proportional to 10,735 and 26,107 is: 63,490.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735 : 26,107 = 26,107 : x
  2. Step 2: Convert to fraction form
    10,735/26,107 = 26,107/x
  3. Step 3: Cross multiply
    10,735x = 26,107 × 26,107
  4. Step 4: Simplify right side
    10,735x = 681,575,449
  5. Step 5: Solve for x
    x = 681,575,449/10,735
  6. Step 6: Final answer
    x = 63,490.96

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.