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Finding the Third Proportional to 6,972 and 10,476

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Solution

The third proportional to 6,972 and 10,476 is: 15,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972 : 10,476 = 10,476 : x
  2. Step 2: Convert to fraction form
    6,972/10,476 = 10,476/x
  3. Step 3: Cross multiply
    6,972x = 10,476 × 10,476
  4. Step 4: Simplify right side
    6,972x = 109,746,576
  5. Step 5: Solve for x
    x = 109,746,576/6,972
  6. Step 6: Final answer
    x = 15,741.05

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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.