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Finding the Third Proportional to 35,727 and 53,955

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Solution

The third proportional to 35,727 and 53,955 is: 81,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727 : 53,955 = 53,955 : x
  2. Step 2: Convert to fraction form
    35,727/53,955 = 53,955/x
  3. Step 3: Cross multiply
    35,727x = 53,955 × 53,955
  4. Step 4: Simplify right side
    35,727x = 2,911,142,025
  5. Step 5: Solve for x
    x = 2,911,142,025/35,727
  6. Step 6: Final answer
    x = 81,482.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.