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Finding the Third Proportional to 7,269.75 and 10,931.06

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Solution

The third proportional to 7,269.75 and 10,931.06 is: 16,436.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,269.75 : 10,931.06 = 10,931.06 : x
  2. Step 2: Convert to fraction form
    7,269.75/10,931.06 = 10,931.06/x
  3. Step 3: Cross multiply
    7,269.75x = 10,931.06 × 10,931.06
  4. Step 4: Simplify right side
    7,269.75x = 119,488,127.38
  5. Step 5: Solve for x
    x = 119,488,127.38/7,269.75
  6. Step 6: Final answer
    x = 16,436.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.