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Finding the Third Proportional to 23,040 and 48,537

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Solution

The third proportional to 23,040 and 48,537 is: 102,250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,040 : 48,537 = 48,537 : x
  2. Step 2: Convert to fraction form
    23,040/48,537 = 48,537/x
  3. Step 3: Cross multiply
    23,040x = 48,537 × 48,537
  4. Step 4: Simplify right side
    23,040x = 2,355,840,369
  5. Step 5: Solve for x
    x = 2,355,840,369/23,040
  6. Step 6: Final answer
    x = 102,250.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.