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Finding the Third Proportional to 5,486.72 and 11,210.51

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Solution

The third proportional to 5,486.72 and 11,210.51 is: 22,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.72 : 11,210.51 = 11,210.51 : x
  2. Step 2: Convert to fraction form
    5,486.72/11,210.51 = 11,210.51/x
  3. Step 3: Cross multiply
    5,486.72x = 11,210.51 × 11,210.51
  4. Step 4: Simplify right side
    5,486.72x = 125,675,551.10
  5. Step 5: Solve for x
    x = 125,675,551.10/5,486.72
  6. Step 6: Final answer
    x = 22,905.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.