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Finding the Third Proportional to 9,473.50 and 14,210

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Solution

The third proportional to 9,473.50 and 14,210 is: 21,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.50 : 14,210 = 14,210 : x
  2. Step 2: Convert to fraction form
    9,473.50/14,210 = 14,210/x
  3. Step 3: Cross multiply
    9,473.50x = 14,210 × 14,210
  4. Step 4: Simplify right side
    9,473.50x = 201,924,100
  5. Step 5: Solve for x
    x = 201,924,100/9,473.50
  6. Step 6: Final answer
    x = 21,314.63

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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.