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Finding the Third Proportional to 20,306.53 and 30,291.47

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Solution

The third proportional to 20,306.53 and 30,291.47 is: 45,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,306.53 : 30,291.47 = 30,291.47 : x
  2. Step 2: Convert to fraction form
    20,306.53/30,291.47 = 30,291.47/x
  3. Step 3: Cross multiply
    20,306.53x = 30,291.47 × 30,291.47
  4. Step 4: Simplify right side
    20,306.53x = 917,573,079.03
  5. Step 5: Solve for x
    x = 917,573,079.03/20,306.53
  6. Step 6: Final answer
    x = 45,186.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.