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Finding the Third Proportional to 23,632 and 51,148

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Solution

The third proportional to 23,632 and 51,148 is: 110,702.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632 : 51,148 = 51,148 : x
  2. Step 2: Convert to fraction form
    23,632/51,148 = 51,148/x
  3. Step 3: Cross multiply
    23,632x = 51,148 × 51,148
  4. Step 4: Simplify right side
    23,632x = 2,616,117,904
  5. Step 5: Solve for x
    x = 2,616,117,904/23,632
  6. Step 6: Final answer
    x = 110,702.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.