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Finding the Third Proportional to 30,583.13 and 47,266.88

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Solution

The third proportional to 30,583.13 and 47,266.88 is: 73,051.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,583.13 : 47,266.88 = 47,266.88 : x
  2. Step 2: Convert to fraction form
    30,583.13/47,266.88 = 47,266.88/x
  3. Step 3: Cross multiply
    30,583.13x = 47,266.88 × 47,266.88
  4. Step 4: Simplify right side
    30,583.13x = 2,234,157,472.27
  5. Step 5: Solve for x
    x = 2,234,157,472.27/30,583.13
  6. Step 6: Final answer
    x = 73,051.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.