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Finding the Third Proportional to 35,837 and 56,763

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Solution

The third proportional to 35,837 and 56,763 is: 89,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,837 : 56,763 = 56,763 : x
  2. Step 2: Convert to fraction form
    35,837/56,763 = 56,763/x
  3. Step 3: Cross multiply
    35,837x = 56,763 × 56,763
  4. Step 4: Simplify right side
    35,837x = 3,222,038,169
  5. Step 5: Solve for x
    x = 3,222,038,169/35,837
  6. Step 6: Final answer
    x = 89,908.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.