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Finding the Third Proportional to 2,946.38 and 6,368.63

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Solution

The third proportional to 2,946.38 and 6,368.63 is: 13,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.38 : 6,368.63 = 6,368.63 : x
  2. Step 2: Convert to fraction form
    2,946.38/6,368.63 = 6,368.63/x
  3. Step 3: Cross multiply
    2,946.38x = 6,368.63 × 6,368.63
  4. Step 4: Simplify right side
    2,946.38x = 40,559,384.39
  5. Step 5: Solve for x
    x = 40,559,384.39/2,946.38
  6. Step 6: Final answer
    x = 13,765.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.