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Finding the Third Proportional to 35,116 and 53,396

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Solution

The third proportional to 35,116 and 53,396 is: 81,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,116 : 53,396 = 53,396 : x
  2. Step 2: Convert to fraction form
    35,116/53,396 = 53,396/x
  3. Step 3: Cross multiply
    35,116x = 53,396 × 53,396
  4. Step 4: Simplify right side
    35,116x = 2,851,132,816
  5. Step 5: Solve for x
    x = 2,851,132,816/35,116
  6. Step 6: Final answer
    x = 81,191.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.