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Finding the Third Proportional to 7,283 and 7,931

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Solution

The third proportional to 7,283 and 7,931 is: 8,636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,283 : 7,931 = 7,931 : x
  2. Step 2: Convert to fraction form
    7,283/7,931 = 7,931/x
  3. Step 3: Cross multiply
    7,283x = 7,931 × 7,931
  4. Step 4: Simplify right side
    7,283x = 62,900,761
  5. Step 5: Solve for x
    x = 62,900,761/7,283
  6. Step 6: Final answer
    x = 8,636.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.