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Finding the Third Proportional to 7,157 and 15,485

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Solution

The third proportional to 7,157 and 15,485 is: 33,503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157 : 15,485 = 15,485 : x
  2. Step 2: Convert to fraction form
    7,157/15,485 = 15,485/x
  3. Step 3: Cross multiply
    7,157x = 15,485 × 15,485
  4. Step 4: Simplify right side
    7,157x = 239,785,225
  5. Step 5: Solve for x
    x = 239,785,225/7,157
  6. Step 6: Final answer
    x = 33,503.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.