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Finding the Third Proportional to 7,710.75 and 12,258.56

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Solution

The third proportional to 7,710.75 and 12,258.56 is: 19,488.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.75 : 12,258.56 = 12,258.56 : x
  2. Step 2: Convert to fraction form
    7,710.75/12,258.56 = 12,258.56/x
  3. Step 3: Cross multiply
    7,710.75x = 12,258.56 × 12,258.56
  4. Step 4: Simplify right side
    7,710.75x = 150,272,354.57
  5. Step 5: Solve for x
    x = 150,272,354.57/7,710.75
  6. Step 6: Final answer
    x = 19,488.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.