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Finding the Third Proportional to 5,054.06 and 7,312.78

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Solution

The third proportional to 5,054.06 and 7,312.78 is: 10,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.06 : 7,312.78 = 7,312.78 : x
  2. Step 2: Convert to fraction form
    5,054.06/7,312.78 = 7,312.78/x
  3. Step 3: Cross multiply
    5,054.06x = 7,312.78 × 7,312.78
  4. Step 4: Simplify right side
    5,054.06x = 53,476,769.61
  5. Step 5: Solve for x
    x = 53,476,769.61/5,054.06
  6. Step 6: Final answer
    x = 10,580.95

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.