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Finding the Third Proportional to 4,700 and 10,928.50

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Solution

The third proportional to 4,700 and 10,928.50 is: 25,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700 : 10,928.50 = 10,928.50 : x
  2. Step 2: Convert to fraction form
    4,700/10,928.50 = 10,928.50/x
  3. Step 3: Cross multiply
    4,700x = 10,928.50 × 10,928.50
  4. Step 4: Simplify right side
    4,700x = 119,432,112.25
  5. Step 5: Solve for x
    x = 119,432,112.25/4,700
  6. Step 6: Final answer
    x = 25,411.09

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.