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Finding the Third Proportional to 11,295 and 26,385.75

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Solution

The third proportional to 11,295 and 26,385.75 is: 61,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,295 : 26,385.75 = 26,385.75 : x
  2. Step 2: Convert to fraction form
    11,295/26,385.75 = 26,385.75/x
  3. Step 3: Cross multiply
    11,295x = 26,385.75 × 26,385.75
  4. Step 4: Simplify right side
    11,295x = 696,207,803.06
  5. Step 5: Solve for x
    x = 696,207,803.06/11,295
  6. Step 6: Final answer
    x = 61,638.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.