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Finding the Third Proportional to 7,130 and 8,342

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Solution

The third proportional to 7,130 and 8,342 is: 9,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130 : 8,342 = 8,342 : x
  2. Step 2: Convert to fraction form
    7,130/8,342 = 8,342/x
  3. Step 3: Cross multiply
    7,130x = 8,342 × 8,342
  4. Step 4: Simplify right side
    7,130x = 69,588,964
  5. Step 5: Solve for x
    x = 69,588,964/7,130
  6. Step 6: Final answer
    x = 9,760.02

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.