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Finding the Third Proportional to 26,804 and 39,403

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Solution

The third proportional to 26,804 and 39,403 is: 57,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,804 : 39,403 = 39,403 : x
  2. Step 2: Convert to fraction form
    26,804/39,403 = 39,403/x
  3. Step 3: Cross multiply
    26,804x = 39,403 × 39,403
  4. Step 4: Simplify right side
    26,804x = 1,552,596,409
  5. Step 5: Solve for x
    x = 1,552,596,409/26,804
  6. Step 6: Final answer
    x = 57,924.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.