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Finding the Third Proportional to 6,076 and 7,210

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Solution

The third proportional to 6,076 and 7,210 is: 8,555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076 : 7,210 = 7,210 : x
  2. Step 2: Convert to fraction form
    6,076/7,210 = 7,210/x
  3. Step 3: Cross multiply
    6,076x = 7,210 × 7,210
  4. Step 4: Simplify right side
    6,076x = 51,984,100
  5. Step 5: Solve for x
    x = 51,984,100/6,076
  6. Step 6: Final answer
    x = 8,555.65

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.