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Finding the Third Proportional to 47,643 and 70,077

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Solution

The third proportional to 47,643 and 70,077 is: 103,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643 : 70,077 = 70,077 : x
  2. Step 2: Convert to fraction form
    47,643/70,077 = 70,077/x
  3. Step 3: Cross multiply
    47,643x = 70,077 × 70,077
  4. Step 4: Simplify right side
    47,643x = 4,910,785,929
  5. Step 5: Solve for x
    x = 4,910,785,929/47,643
  6. Step 6: Final answer
    x = 103,074.66

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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.