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Finding the Third Proportional to 5,820.19 and 12,563.16

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Solution

The third proportional to 5,820.19 and 12,563.16 is: 27,118.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.19 : 12,563.16 = 12,563.16 : x
  2. Step 2: Convert to fraction form
    5,820.19/12,563.16 = 12,563.16/x
  3. Step 3: Cross multiply
    5,820.19x = 12,563.16 × 12,563.16
  4. Step 4: Simplify right side
    5,820.19x = 157,832,894.96
  5. Step 5: Solve for x
    x = 157,832,894.96/5,820.19
  6. Step 6: Final answer
    x = 27,118.18

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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.