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Finding the Third Proportional to 26,205 and 38,941.50

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Solution

The third proportional to 26,205 and 38,941.50 is: 57,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205 : 38,941.50 = 38,941.50 : x
  2. Step 2: Convert to fraction form
    26,205/38,941.50 = 38,941.50/x
  3. Step 3: Cross multiply
    26,205x = 38,941.50 × 38,941.50
  4. Step 4: Simplify right side
    26,205x = 1,516,440,422.25
  5. Step 5: Solve for x
    x = 1,516,440,422.25/26,205
  6. Step 6: Final answer
    x = 57,868.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.