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Finding the Third Proportional to 1,025.16 and 2,220.70

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Solution

The third proportional to 1,025.16 and 2,220.70 is: 4,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.16 : 2,220.70 = 2,220.70 : x
  2. Step 2: Convert to fraction form
    1,025.16/2,220.70 = 2,220.70/x
  3. Step 3: Cross multiply
    1,025.16x = 2,220.70 × 2,220.70
  4. Step 4: Simplify right side
    1,025.16x = 4,931,496.35
  5. Step 5: Solve for x
    x = 4,931,496.35/1,025.16
  6. Step 6: Final answer
    x = 4,810.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.