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Finding the Third Proportional to 35,828 and 52,660

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Solution

The third proportional to 35,828 and 52,660 is: 77,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,828 : 52,660 = 52,660 : x
  2. Step 2: Convert to fraction form
    35,828/52,660 = 52,660/x
  3. Step 3: Cross multiply
    35,828x = 52,660 × 52,660
  4. Step 4: Simplify right side
    35,828x = 2,773,075,600
  5. Step 5: Solve for x
    x = 2,773,075,600/35,828
  6. Step 6: Final answer
    x = 77,399.68

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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.