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Finding the Third Proportional to 7,037 and 9,897.38

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Solution

The third proportional to 7,037 and 9,897.38 is: 13,920.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037 : 9,897.38 = 9,897.38 : x
  2. Step 2: Convert to fraction form
    7,037/9,897.38 = 9,897.38/x
  3. Step 3: Cross multiply
    7,037x = 9,897.38 × 9,897.38
  4. Step 4: Simplify right side
    7,037x = 97,958,031.89
  5. Step 5: Solve for x
    x = 97,958,031.89/7,037
  6. Step 6: Final answer
    x = 13,920.43

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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.