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Finding the Third Proportional to 30,592.69 and 69,508.13

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Solution

The third proportional to 30,592.69 and 69,508.13 is: 157,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.69 : 69,508.13 = 69,508.13 : x
  2. Step 2: Convert to fraction form
    30,592.69/69,508.13 = 69,508.13/x
  3. Step 3: Cross multiply
    30,592.69x = 69,508.13 × 69,508.13
  4. Step 4: Simplify right side
    30,592.69x = 4,831,379,441.02
  5. Step 5: Solve for x
    x = 4,831,379,441.02/30,592.69
  6. Step 6: Final answer
    x = 157,925.96

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.