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Finding the Third Proportional to 5,477.63 and 11,916.28

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Solution

The third proportional to 5,477.63 and 11,916.28 is: 25,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.63 : 11,916.28 = 11,916.28 : x
  2. Step 2: Convert to fraction form
    5,477.63/11,916.28 = 11,916.28/x
  3. Step 3: Cross multiply
    5,477.63x = 11,916.28 × 11,916.28
  4. Step 4: Simplify right side
    5,477.63x = 141,997,758.83
  5. Step 5: Solve for x
    x = 141,997,758.83/5,477.63
  6. Step 6: Final answer
    x = 25,923.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.