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Finding the Third Proportional to 23,090 and 48,928

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Solution

The third proportional to 23,090 and 48,928 is: 103,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090 : 48,928 = 48,928 : x
  2. Step 2: Convert to fraction form
    23,090/48,928 = 48,928/x
  3. Step 3: Cross multiply
    23,090x = 48,928 × 48,928
  4. Step 4: Simplify right side
    23,090x = 2,393,949,184
  5. Step 5: Solve for x
    x = 2,393,949,184/23,090
  6. Step 6: Final answer
    x = 103,679.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.