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Finding the Third Proportional to 47,670 and 70,071

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Solution

The third proportional to 47,670 and 70,071 is: 102,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670 : 70,071 = 70,071 : x
  2. Step 2: Convert to fraction form
    47,670/70,071 = 70,071/x
  3. Step 3: Cross multiply
    47,670x = 70,071 × 70,071
  4. Step 4: Simplify right side
    47,670x = 4,909,945,041
  5. Step 5: Solve for x
    x = 4,909,945,041/47,670
  6. Step 6: Final answer
    x = 102,998.64

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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.