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Finding the Third Proportional to 2,060.25 and 4,470

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Solution

The third proportional to 2,060.25 and 4,470 is: 9,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.25 : 4,470 = 4,470 : x
  2. Step 2: Convert to fraction form
    2,060.25/4,470 = 4,470/x
  3. Step 3: Cross multiply
    2,060.25x = 4,470 × 4,470
  4. Step 4: Simplify right side
    2,060.25x = 19,980,900
  5. Step 5: Solve for x
    x = 19,980,900/2,060.25
  6. Step 6: Final answer
    x = 9,698.29

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