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Finding the Third Proportional to 47,855.81 and 70,401.66

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Solution

The third proportional to 47,855.81 and 70,401.66 is: 103,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,855.81 : 70,401.66 = 70,401.66 : x
  2. Step 2: Convert to fraction form
    47,855.81/70,401.66 = 70,401.66/x
  3. Step 3: Cross multiply
    47,855.81x = 70,401.66 × 70,401.66
  4. Step 4: Simplify right side
    47,855.81x = 4,956,393,202.74
  5. Step 5: Solve for x
    x = 4,956,393,202.74/47,855.81
  6. Step 6: Final answer
    x = 103,569.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.