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Finding the Third Proportional to 30,823.03 and 40,300.03

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Solution

The third proportional to 30,823.03 and 40,300.03 is: 52,690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,823.03 : 40,300.03 = 40,300.03 : x
  2. Step 2: Convert to fraction form
    30,823.03/40,300.03 = 40,300.03/x
  3. Step 3: Cross multiply
    30,823.03x = 40,300.03 × 40,300.03
  4. Step 4: Simplify right side
    30,823.03x = 1,624,092,518.75
  5. Step 5: Solve for x
    x = 1,624,092,518.75/30,823.03
  6. Step 6: Final answer
    x = 52,690.88

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.