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Finding the Third Proportional to 46,697.63 and 70,532.44

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Solution

The third proportional to 46,697.63 and 70,532.44 is: 106,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,697.63 : 70,532.44 = 70,532.44 : x
  2. Step 2: Convert to fraction form
    46,697.63/70,532.44 = 70,532.44/x
  3. Step 3: Cross multiply
    46,697.63x = 70,532.44 × 70,532.44
  4. Step 4: Simplify right side
    46,697.63x = 4,974,824,739.69
  5. Step 5: Solve for x
    x = 4,974,824,739.69/46,697.63
  6. Step 6: Final answer
    x = 106,532.71

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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.