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Finding the Third Proportional to 4,495 and 9,875

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Solution

The third proportional to 4,495 and 9,875 is: 21,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495 : 9,875 = 9,875 : x
  2. Step 2: Convert to fraction form
    4,495/9,875 = 9,875/x
  3. Step 3: Cross multiply
    4,495x = 9,875 × 9,875
  4. Step 4: Simplify right side
    4,495x = 97,515,625
  5. Step 5: Solve for x
    x = 97,515,625/4,495
  6. Step 6: Final answer
    x = 21,694.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.