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Finding the Third Proportional to 4,575.75 and 6,428.25

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Solution

The third proportional to 4,575.75 and 6,428.25 is: 9,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.75 : 6,428.25 = 6,428.25 : x
  2. Step 2: Convert to fraction form
    4,575.75/6,428.25 = 6,428.25/x
  3. Step 3: Cross multiply
    4,575.75x = 6,428.25 × 6,428.25
  4. Step 4: Simplify right side
    4,575.75x = 41,322,398.06
  5. Step 5: Solve for x
    x = 41,322,398.06/4,575.75
  6. Step 6: Final answer
    x = 9,030.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.