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Finding the Third Proportional to 47,598 and 70,011

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Solution

The third proportional to 47,598 and 70,011 is: 102,977.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,598 : 70,011 = 70,011 : x
  2. Step 2: Convert to fraction form
    47,598/70,011 = 70,011/x
  3. Step 3: Cross multiply
    47,598x = 70,011 × 70,011
  4. Step 4: Simplify right side
    47,598x = 4,901,540,121
  5. Step 5: Solve for x
    x = 4,901,540,121/47,598
  6. Step 6: Final answer
    x = 102,977.86

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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.