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Finding the Third Proportional to 35,788 and 52,588

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Solution

The third proportional to 35,788 and 52,588 is: 77,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,788 : 52,588 = 52,588 : x
  2. Step 2: Convert to fraction form
    35,788/52,588 = 52,588/x
  3. Step 3: Cross multiply
    35,788x = 52,588 × 52,588
  4. Step 4: Simplify right side
    35,788x = 2,765,497,744
  5. Step 5: Solve for x
    x = 2,765,497,744/35,788
  6. Step 6: Final answer
    x = 77,274.44

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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.