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Finding the Third Proportional to 7,000 and 13,210

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Solution

The third proportional to 7,000 and 13,210 is: 24,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000 : 13,210 = 13,210 : x
  2. Step 2: Convert to fraction form
    7,000/13,210 = 13,210/x
  3. Step 3: Cross multiply
    7,000x = 13,210 × 13,210
  4. Step 4: Simplify right side
    7,000x = 174,504,100
  5. Step 5: Solve for x
    x = 174,504,100/7,000
  6. Step 6: Final answer
    x = 24,929.16

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.