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Finding the Third Proportional to 4,887 and 10,776.38

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Solution

The third proportional to 4,887 and 10,776.38 is: 23,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887 : 10,776.38 = 10,776.38 : x
  2. Step 2: Convert to fraction form
    4,887/10,776.38 = 10,776.38/x
  3. Step 3: Cross multiply
    4,887x = 10,776.38 × 10,776.38
  4. Step 4: Simplify right side
    4,887x = 116,130,258.14
  5. Step 5: Solve for x
    x = 116,130,258.14/4,887
  6. Step 6: Final answer
    x = 23,763.10

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.