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Finding the Third Proportional to 10,714.50 and 23,887.50

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Solution

The third proportional to 10,714.50 and 23,887.50 is: 53,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.50 : 23,887.50 = 23,887.50 : x
  2. Step 2: Convert to fraction form
    10,714.50/23,887.50 = 23,887.50/x
  3. Step 3: Cross multiply
    10,714.50x = 23,887.50 × 23,887.50
  4. Step 4: Simplify right side
    10,714.50x = 570,612,656.25
  5. Step 5: Solve for x
    x = 570,612,656.25/10,714.50
  6. Step 6: Final answer
    x = 53,256.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.