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Finding the Third Proportional to 4,946 and 6,931

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Solution

The third proportional to 4,946 and 6,931 is: 9,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 6,931 = 6,931 : x
  2. Step 2: Convert to fraction form
    4,946/6,931 = 6,931/x
  3. Step 3: Cross multiply
    4,946x = 6,931 × 6,931
  4. Step 4: Simplify right side
    4,946x = 48,038,761
  5. Step 5: Solve for x
    x = 48,038,761/4,946
  6. Step 6: Final answer
    x = 9,712.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.