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Finding the Third Proportional to 22,130.88 and 47,953.38

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Solution

The third proportional to 22,130.88 and 47,953.38 is: 103,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.88 : 47,953.38 = 47,953.38 : x
  2. Step 2: Convert to fraction form
    22,130.88/47,953.38 = 47,953.38/x
  3. Step 3: Cross multiply
    22,130.88x = 47,953.38 × 47,953.38
  4. Step 4: Simplify right side
    22,130.88x = 2,299,526,173.89
  5. Step 5: Solve for x
    x = 2,299,526,173.89/22,130.88
  6. Step 6: Final answer
    x = 103,905.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.