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Finding the Third Proportional to 22,262.34 and 53,199.28

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Solution

The third proportional to 22,262.34 and 53,199.28 is: 127,127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,262.34 : 53,199.28 = 53,199.28 : x
  2. Step 2: Convert to fraction form
    22,262.34/53,199.28 = 53,199.28/x
  3. Step 3: Cross multiply
    22,262.34x = 53,199.28 × 53,199.28
  4. Step 4: Simplify right side
    22,262.34x = 2,830,163,525.52
  5. Step 5: Solve for x
    x = 2,830,163,525.52/22,262.34
  6. Step 6: Final answer
    x = 127,127.83

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.