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Finding the Third Proportional to 4,968 and 10,928

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Solution

The third proportional to 4,968 and 10,928 is: 24,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 10,928 = 10,928 : x
  2. Step 2: Convert to fraction form
    4,968/10,928 = 10,928/x
  3. Step 3: Cross multiply
    4,968x = 10,928 × 10,928
  4. Step 4: Simplify right side
    4,968x = 119,421,184
  5. Step 5: Solve for x
    x = 119,421,184/4,968
  6. Step 6: Final answer
    x = 24,038.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.