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Finding the Third Proportional to 7,038 and 9,902

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Solution

The third proportional to 7,038 and 9,902 is: 13,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038 : 9,902 = 9,902 : x
  2. Step 2: Convert to fraction form
    7,038/9,902 = 9,902/x
  3. Step 3: Cross multiply
    7,038x = 9,902 × 9,902
  4. Step 4: Simplify right side
    7,038x = 98,049,604
  5. Step 5: Solve for x
    x = 98,049,604/7,038
  6. Step 6: Final answer
    x = 13,931.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.