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Finding the Third Proportional to 2,946.38 and 4,427.16

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Solution

The third proportional to 2,946.38 and 4,427.16 is: 6,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.38 : 4,427.16 = 4,427.16 : x
  2. Step 2: Convert to fraction form
    2,946.38/4,427.16 = 4,427.16/x
  3. Step 3: Cross multiply
    2,946.38x = 4,427.16 × 4,427.16
  4. Step 4: Simplify right side
    2,946.38x = 19,599,712.46
  5. Step 5: Solve for x
    x = 19,599,712.46/2,946.38
  6. Step 6: Final answer
    x = 6,652.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.