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Finding the Third Proportional to 22,623 and 48,714.25

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Solution

The third proportional to 22,623 and 48,714.25 is: 104,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,623 : 48,714.25 = 48,714.25 : x
  2. Step 2: Convert to fraction form
    22,623/48,714.25 = 48,714.25/x
  3. Step 3: Cross multiply
    22,623x = 48,714.25 × 48,714.25
  4. Step 4: Simplify right side
    22,623x = 2,373,078,153.06
  5. Step 5: Solve for x
    x = 2,373,078,153.06/22,623
  6. Step 6: Final answer
    x = 104,896.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.