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Finding the Third Proportional to 23,681 and 48,178

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Solution

The third proportional to 23,681 and 48,178 is: 98,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681 : 48,178 = 48,178 : x
  2. Step 2: Convert to fraction form
    23,681/48,178 = 48,178/x
  3. Step 3: Cross multiply
    23,681x = 48,178 × 48,178
  4. Step 4: Simplify right side
    23,681x = 2,321,119,684
  5. Step 5: Solve for x
    x = 2,321,119,684/23,681
  6. Step 6: Final answer
    x = 98,016.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.