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Finding the Third Proportional to 8,510 and 18,030

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Solution

The third proportional to 8,510 and 18,030 is: 38,199.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510 : 18,030 = 18,030 : x
  2. Step 2: Convert to fraction form
    8,510/18,030 = 18,030/x
  3. Step 3: Cross multiply
    8,510x = 18,030 × 18,030
  4. Step 4: Simplify right side
    8,510x = 325,080,900
  5. Step 5: Solve for x
    x = 325,080,900/8,510
  6. Step 6: Final answer
    x = 38,199.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.