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Finding the Third Proportional to 2,030.25 and 4,435.13

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Solution

The third proportional to 2,030.25 and 4,435.13 is: 9,688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.25 : 4,435.13 = 4,435.13 : x
  2. Step 2: Convert to fraction form
    2,030.25/4,435.13 = 4,435.13/x
  3. Step 3: Cross multiply
    2,030.25x = 4,435.13 × 4,435.13
  4. Step 4: Simplify right side
    2,030.25x = 19,670,333.77
  5. Step 5: Solve for x
    x = 19,670,333.77/2,030.25
  6. Step 6: Final answer
    x = 9,688.63

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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.