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Finding the Third Proportional to 47,289 and 70,596

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Solution

The third proportional to 47,289 and 70,596 is: 105,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,289 : 70,596 = 70,596 : x
  2. Step 2: Convert to fraction form
    47,289/70,596 = 70,596/x
  3. Step 3: Cross multiply
    47,289x = 70,596 × 70,596
  4. Step 4: Simplify right side
    47,289x = 4,983,795,216
  5. Step 5: Solve for x
    x = 4,983,795,216/47,289
  6. Step 6: Final answer
    x = 105,390.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.