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Finding the Third Proportional to 30,952.13 and 48,281.06

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Solution

The third proportional to 30,952.13 and 48,281.06 is: 75,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.13 : 48,281.06 = 48,281.06 : x
  2. Step 2: Convert to fraction form
    30,952.13/48,281.06 = 48,281.06/x
  3. Step 3: Cross multiply
    30,952.13x = 48,281.06 × 48,281.06
  4. Step 4: Simplify right side
    30,952.13x = 2,331,060,996.13
  5. Step 5: Solve for x
    x = 2,331,060,996.13/30,952.13
  6. Step 6: Final answer
    x = 75,311.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.