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Finding the Third Proportional to 2,196 and 4,877

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Solution

The third proportional to 2,196 and 4,877 is: 10,831.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196 : 4,877 = 4,877 : x
  2. Step 2: Convert to fraction form
    2,196/4,877 = 4,877/x
  3. Step 3: Cross multiply
    2,196x = 4,877 × 4,877
  4. Step 4: Simplify right side
    2,196x = 23,785,129
  5. Step 5: Solve for x
    x = 23,785,129/2,196
  6. Step 6: Final answer
    x = 10,831.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.