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Finding the Third Proportional to 47,694 and 70,080

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Solution

The third proportional to 47,694 and 70,080 is: 102,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694 : 70,080 = 70,080 : x
  2. Step 2: Convert to fraction form
    47,694/70,080 = 70,080/x
  3. Step 3: Cross multiply
    47,694x = 70,080 × 70,080
  4. Step 4: Simplify right side
    47,694x = 4,911,206,400
  5. Step 5: Solve for x
    x = 4,911,206,400/47,694
  6. Step 6: Final answer
    x = 102,973.25

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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.