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Finding the Third Proportional to 46,711.13 and 70,552.69

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Solution

The third proportional to 46,711.13 and 70,552.69 is: 106,563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,711.13 : 70,552.69 = 70,552.69 : x
  2. Step 2: Convert to fraction form
    46,711.13/70,552.69 = 70,552.69/x
  3. Step 3: Cross multiply
    46,711.13x = 70,552.69 × 70,552.69
  4. Step 4: Simplify right side
    46,711.13x = 4,977,681,713.47
  5. Step 5: Solve for x
    x = 4,977,681,713.47/46,711.13
  6. Step 6: Final answer
    x = 106,563.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.