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Finding the Third Proportional to 45,600 and 70,044

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Solution

The third proportional to 45,600 and 70,044 is: 107,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,600 : 70,044 = 70,044 : x
  2. Step 2: Convert to fraction form
    45,600/70,044 = 70,044/x
  3. Step 3: Cross multiply
    45,600x = 70,044 × 70,044
  4. Step 4: Simplify right side
    45,600x = 4,906,161,936
  5. Step 5: Solve for x
    x = 4,906,161,936/45,600
  6. Step 6: Final answer
    x = 107,591.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.