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Finding the Third Proportional to 47,709 and 70,176.38

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Solution

The third proportional to 47,709 and 70,176.38 is: 103,224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709 : 70,176.38 = 70,176.38 : x
  2. Step 2: Convert to fraction form
    47,709/70,176.38 = 70,176.38/x
  3. Step 3: Cross multiply
    47,709x = 70,176.38 × 70,176.38
  4. Step 4: Simplify right side
    47,709x = 4,924,723,608.14
  5. Step 5: Solve for x
    x = 4,924,723,608.14/47,709
  6. Step 6: Final answer
    x = 103,224.21

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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.