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Finding the Third Proportional to 35,979.19 and 53,968.78

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Solution

The third proportional to 35,979.19 and 53,968.78 is: 80,953.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,979.19 : 53,968.78 = 53,968.78 : x
  2. Step 2: Convert to fraction form
    35,979.19/53,968.78 = 53,968.78/x
  3. Step 3: Cross multiply
    35,979.19x = 53,968.78 × 53,968.78
  4. Step 4: Simplify right side
    35,979.19x = 2,912,629,349.61
  5. Step 5: Solve for x
    x = 2,912,629,349.61/35,979.19
  6. Step 6: Final answer
    x = 80,953.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.