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Finding the Third Proportional to 7,248.75 and 15,804.75

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Solution

The third proportional to 7,248.75 and 15,804.75 is: 34,459.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,248.75 : 15,804.75 = 15,804.75 : x
  2. Step 2: Convert to fraction form
    7,248.75/15,804.75 = 15,804.75/x
  3. Step 3: Cross multiply
    7,248.75x = 15,804.75 × 15,804.75
  4. Step 4: Simplify right side
    7,248.75x = 249,790,122.56
  5. Step 5: Solve for x
    x = 249,790,122.56/7,248.75
  6. Step 6: Final answer
    x = 34,459.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.