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Finding the Third Proportional to 26,325 and 37,030.50

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Solution

The third proportional to 26,325 and 37,030.50 is: 52,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,325 : 37,030.50 = 37,030.50 : x
  2. Step 2: Convert to fraction form
    26,325/37,030.50 = 37,030.50/x
  3. Step 3: Cross multiply
    26,325x = 37,030.50 × 37,030.50
  4. Step 4: Simplify right side
    26,325x = 1,371,257,930.25
  5. Step 5: Solve for x
    x = 1,371,257,930.25/26,325
  6. Step 6: Final answer
    x = 52,089.57

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.