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Finding the Third Proportional to 35,820 and 50,354

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Solution

The third proportional to 35,820 and 50,354 is: 70,785.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,820 : 50,354 = 50,354 : x
  2. Step 2: Convert to fraction form
    35,820/50,354 = 50,354/x
  3. Step 3: Cross multiply
    35,820x = 50,354 × 50,354
  4. Step 4: Simplify right side
    35,820x = 2,535,525,316
  5. Step 5: Solve for x
    x = 2,535,525,316/35,820
  6. Step 6: Final answer
    x = 70,785.18

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.