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Finding the Third Proportional to 47,049 and 70,566.75

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Solution

The third proportional to 47,049 and 70,566.75 is: 105,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,049 : 70,566.75 = 70,566.75 : x
  2. Step 2: Convert to fraction form
    47,049/70,566.75 = 70,566.75/x
  3. Step 3: Cross multiply
    47,049x = 70,566.75 × 70,566.75
  4. Step 4: Simplify right side
    47,049x = 4,979,666,205.56
  5. Step 5: Solve for x
    x = 4,979,666,205.56/47,049
  6. Step 6: Final answer
    x = 105,840.00

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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.