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Finding the Third Proportional to 47,814 and 70,028

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Solution

The third proportional to 47,814 and 70,028 is: 102,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,814 : 70,028 = 70,028 : x
  2. Step 2: Convert to fraction form
    47,814/70,028 = 70,028/x
  3. Step 3: Cross multiply
    47,814x = 70,028 × 70,028
  4. Step 4: Simplify right side
    47,814x = 4,903,920,784
  5. Step 5: Solve for x
    x = 4,903,920,784/47,814
  6. Step 6: Final answer
    x = 102,562.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.