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Finding the Third Proportional to 22,725 and 48,688

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Solution

The third proportional to 22,725 and 48,688 is: 104,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,725 : 48,688 = 48,688 : x
  2. Step 2: Convert to fraction form
    22,725/48,688 = 48,688/x
  3. Step 3: Cross multiply
    22,725x = 48,688 × 48,688
  4. Step 4: Simplify right side
    22,725x = 2,370,521,344
  5. Step 5: Solve for x
    x = 2,370,521,344/22,725
  6. Step 6: Final answer
    x = 104,313.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.