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Finding the Third Proportional to 9,206 and 13,038

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Solution

The third proportional to 9,206 and 13,038 is: 18,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206 : 13,038 = 13,038 : x
  2. Step 2: Convert to fraction form
    9,206/13,038 = 13,038/x
  3. Step 3: Cross multiply
    9,206x = 13,038 × 13,038
  4. Step 4: Simplify right side
    9,206x = 169,989,444
  5. Step 5: Solve for x
    x = 169,989,444/9,206
  6. Step 6: Final answer
    x = 18,465.07

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.