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Finding the Third Proportional to 39,109 and 56,044

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Solution

The third proportional to 39,109 and 56,044 is: 80,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,109 : 56,044 = 56,044 : x
  2. Step 2: Convert to fraction form
    39,109/56,044 = 56,044/x
  3. Step 3: Cross multiply
    39,109x = 56,044 × 56,044
  4. Step 4: Simplify right side
    39,109x = 3,140,929,936
  5. Step 5: Solve for x
    x = 3,140,929,936/39,109
  6. Step 6: Final answer
    x = 80,312.20

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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.