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Finding the Third Proportional to 4,870.76 and 7,383.02

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Solution

The third proportional to 4,870.76 and 7,383.02 is: 11,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.76 : 7,383.02 = 7,383.02 : x
  2. Step 2: Convert to fraction form
    4,870.76/7,383.02 = 7,383.02/x
  3. Step 3: Cross multiply
    4,870.76x = 7,383.02 × 7,383.02
  4. Step 4: Simplify right side
    4,870.76x = 54,509,035.08
  5. Step 5: Solve for x
    x = 54,509,035.08/4,870.76
  6. Step 6: Final answer
    x = 11,191.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.