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Finding the Third Proportional to 22,575 and 51,919.50

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Solution

The third proportional to 22,575 and 51,919.50 is: 119,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,575 : 51,919.50 = 51,919.50 : x
  2. Step 2: Convert to fraction form
    22,575/51,919.50 = 51,919.50/x
  3. Step 3: Cross multiply
    22,575x = 51,919.50 × 51,919.50
  4. Step 4: Simplify right side
    22,575x = 2,695,634,480.25
  5. Step 5: Solve for x
    x = 2,695,634,480.25/22,575
  6. Step 6: Final answer
    x = 119,407.95

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.