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Finding the Third Proportional to 4,655.25 and 6,509.25

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Solution

The third proportional to 4,655.25 and 6,509.25 is: 9,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.25 : 6,509.25 = 6,509.25 : x
  2. Step 2: Convert to fraction form
    4,655.25/6,509.25 = 6,509.25/x
  3. Step 3: Cross multiply
    4,655.25x = 6,509.25 × 6,509.25
  4. Step 4: Simplify right side
    4,655.25x = 42,370,335.56
  5. Step 5: Solve for x
    x = 42,370,335.56/4,655.25
  6. Step 6: Final answer
    x = 9,101.62

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