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Finding the Third Proportional to 6,051 and 13,030

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Solution

The third proportional to 6,051 and 13,030 is: 28,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,051 : 13,030 = 13,030 : x
  2. Step 2: Convert to fraction form
    6,051/13,030 = 13,030/x
  3. Step 3: Cross multiply
    6,051x = 13,030 × 13,030
  4. Step 4: Simplify right side
    6,051x = 169,780,900
  5. Step 5: Solve for x
    x = 169,780,900/6,051
  6. Step 6: Final answer
    x = 28,058.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.