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Finding the Third Proportional to 7,038 and 15,019

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Solution

The third proportional to 7,038 and 15,019 is: 32,050.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 15,019 = 15,019 : x
  2. Step 2: Convert to fraction form
    7,038/15,019 = 15,019/x
  3. Step 3: Cross multiply
    7,038x = 15,019 × 15,019
  4. Step 4: Simplify right side
    7,038x = 225,570,361
  5. Step 5: Solve for x
    x = 225,570,361/7,038
  6. Step 6: Final answer
    x = 32,050.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.