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Finding the Third Proportional to 7,101 and 10,630.50

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Solution

The third proportional to 7,101 and 10,630.50 is: 15,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 10,630.50 = 10,630.50 : x
  2. Step 2: Convert to fraction form
    7,101/10,630.50 = 10,630.50/x
  3. Step 3: Cross multiply
    7,101x = 10,630.50 × 10,630.50
  4. Step 4: Simplify right side
    7,101x = 113,007,530.25
  5. Step 5: Solve for x
    x = 113,007,530.25/7,101
  6. Step 6: Final answer
    x = 15,914.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.