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Finding the Third Proportional to 2,154.38 and 4,652.63

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Solution

The third proportional to 2,154.38 and 4,652.63 is: 10,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.38 : 4,652.63 = 4,652.63 : x
  2. Step 2: Convert to fraction form
    2,154.38/4,652.63 = 4,652.63/x
  3. Step 3: Cross multiply
    2,154.38x = 4,652.63 × 4,652.63
  4. Step 4: Simplify right side
    2,154.38x = 21,646,919.39
  5. Step 5: Solve for x
    x = 21,646,919.39/2,154.38
  6. Step 6: Final answer
    x = 10,047.89

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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.