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Finding the Third Proportional to 4,557 and 7,429.50

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Solution

The third proportional to 4,557 and 7,429.50 is: 12,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 7,429.50 = 7,429.50 : x
  2. Step 2: Convert to fraction form
    4,557/7,429.50 = 7,429.50/x
  3. Step 3: Cross multiply
    4,557x = 7,429.50 × 7,429.50
  4. Step 4: Simplify right side
    4,557x = 55,197,470.25
  5. Step 5: Solve for x
    x = 55,197,470.25/4,557
  6. Step 6: Final answer
    x = 12,112.68

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.