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Finding the Third Proportional to 26,798.34 and 39,394.69

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Solution

The third proportional to 26,798.34 and 39,394.69 is: 57,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,798.34 : 39,394.69 = 39,394.69 : x
  2. Step 2: Convert to fraction form
    26,798.34/39,394.69 = 39,394.69/x
  3. Step 3: Cross multiply
    26,798.34x = 39,394.69 × 39,394.69
  4. Step 4: Simplify right side
    26,798.34x = 1,551,941,403.22
  5. Step 5: Solve for x
    x = 1,551,941,403.22/26,798.34
  6. Step 6: Final answer
    x = 57,911.84

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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.