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Finding the Third Proportional to 26,085 and 34,945.50

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Solution

The third proportional to 26,085 and 34,945.50 is: 46,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,085 : 34,945.50 = 34,945.50 : x
  2. Step 2: Convert to fraction form
    26,085/34,945.50 = 34,945.50/x
  3. Step 3: Cross multiply
    26,085x = 34,945.50 × 34,945.50
  4. Step 4: Simplify right side
    26,085x = 1,221,187,970.25
  5. Step 5: Solve for x
    x = 1,221,187,970.25/26,085
  6. Step 6: Final answer
    x = 46,815.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.