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Finding the Third Proportional to 7,297 and 16,007

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Solution

The third proportional to 7,297 and 16,007 is: 35,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297 : 16,007 = 16,007 : x
  2. Step 2: Convert to fraction form
    7,297/16,007 = 16,007/x
  3. Step 3: Cross multiply
    7,297x = 16,007 × 16,007
  4. Step 4: Simplify right side
    7,297x = 256,224,049
  5. Step 5: Solve for x
    x = 256,224,049/7,297
  6. Step 6: Final answer
    x = 35,113.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.