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Finding the Third Proportional to 6,023 and 9,030

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Solution

The third proportional to 6,023 and 9,030 is: 13,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023 : 9,030 = 9,030 : x
  2. Step 2: Convert to fraction form
    6,023/9,030 = 9,030/x
  3. Step 3: Cross multiply
    6,023x = 9,030 × 9,030
  4. Step 4: Simplify right side
    6,023x = 81,540,900
  5. Step 5: Solve for x
    x = 81,540,900/6,023
  6. Step 6: Final answer
    x = 13,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.