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Finding the Third Proportional to 7,102 and 9,937

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Solution

The third proportional to 7,102 and 9,937 is: 13,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102 : 9,937 = 9,937 : x
  2. Step 2: Convert to fraction form
    7,102/9,937 = 9,937/x
  3. Step 3: Cross multiply
    7,102x = 9,937 × 9,937
  4. Step 4: Simplify right side
    7,102x = 98,743,969
  5. Step 5: Solve for x
    x = 98,743,969/7,102
  6. Step 6: Final answer
    x = 13,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.