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Finding the Third Proportional to 35,854 and 55,699

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Solution

The third proportional to 35,854 and 55,699 is: 86,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,854 : 55,699 = 55,699 : x
  2. Step 2: Convert to fraction form
    35,854/55,699 = 55,699/x
  3. Step 3: Cross multiply
    35,854x = 55,699 × 55,699
  4. Step 4: Simplify right side
    35,854x = 3,102,378,601
  5. Step 5: Solve for x
    x = 3,102,378,601/35,854
  6. Step 6: Final answer
    x = 86,528.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.