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Finding the Third Proportional to 26,263.41 and 39,414.94

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Solution

The third proportional to 26,263.41 and 39,414.94 is: 59,152.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,263.41 : 39,414.94 = 39,414.94 : x
  2. Step 2: Convert to fraction form
    26,263.41/39,414.94 = 39,414.94/x
  3. Step 3: Cross multiply
    26,263.41x = 39,414.94 × 39,414.94
  4. Step 4: Simplify right side
    26,263.41x = 1,553,537,298.13
  5. Step 5: Solve for x
    x = 1,553,537,298.13/26,263.41
  6. Step 6: Final answer
    x = 59,152.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.