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Finding the Third Proportional to 47,819 and 70,270

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Solution

The third proportional to 47,819 and 70,270 is: 103,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,819 : 70,270 = 70,270 : x
  2. Step 2: Convert to fraction form
    47,819/70,270 = 70,270/x
  3. Step 3: Cross multiply
    47,819x = 70,270 × 70,270
  4. Step 4: Simplify right side
    47,819x = 4,937,872,900
  5. Step 5: Solve for x
    x = 4,937,872,900/47,819
  6. Step 6: Final answer
    x = 103,261.73

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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.