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Finding the Third Proportional to 47,521.69 and 69,824.53

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Solution

The third proportional to 47,521.69 and 69,824.53 is: 102,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521.69 : 69,824.53 = 69,824.53 : x
  2. Step 2: Convert to fraction form
    47,521.69/69,824.53 = 69,824.53/x
  3. Step 3: Cross multiply
    47,521.69x = 69,824.53 × 69,824.53
  4. Step 4: Simplify right side
    47,521.69x = 4,875,465,164.28
  5. Step 5: Solve for x
    x = 4,875,465,164.28/47,521.69
  6. Step 6: Final answer
    x = 102,594.53

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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.