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Finding the Third Proportional to 30,503.25 and 71,263.13

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Solution

The third proportional to 30,503.25 and 71,263.13 is: 166,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.25 : 71,263.13 = 71,263.13 : x
  2. Step 2: Convert to fraction form
    30,503.25/71,263.13 = 71,263.13/x
  3. Step 3: Cross multiply
    30,503.25x = 71,263.13 × 71,263.13
  4. Step 4: Simplify right side
    30,503.25x = 5,078,432,984.77
  5. Step 5: Solve for x
    x = 5,078,432,984.77/30,503.25
  6. Step 6: Final answer
    x = 166,488.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.