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Finding the Third Proportional to 18,501 and 30,057

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Solution

The third proportional to 18,501 and 30,057 is: 48,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501 : 30,057 = 30,057 : x
  2. Step 2: Convert to fraction form
    18,501/30,057 = 30,057/x
  3. Step 3: Cross multiply
    18,501x = 30,057 × 30,057
  4. Step 4: Simplify right side
    18,501x = 903,423,249
  5. Step 5: Solve for x
    x = 903,423,249/18,501
  6. Step 6: Final answer
    x = 48,831.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.