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Finding the Third Proportional to 39,026 and 55,768

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Solution

The third proportional to 39,026 and 55,768 is: 79,692.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,026 : 55,768 = 55,768 : x
  2. Step 2: Convert to fraction form
    39,026/55,768 = 55,768/x
  3. Step 3: Cross multiply
    39,026x = 55,768 × 55,768
  4. Step 4: Simplify right side
    39,026x = 3,110,069,824
  5. Step 5: Solve for x
    x = 3,110,069,824/39,026
  6. Step 6: Final answer
    x = 79,692.25

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.