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Finding the Third Proportional to 22,281.75 and 48,451.50

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Solution

The third proportional to 22,281.75 and 48,451.50 is: 105,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,281.75 : 48,451.50 = 48,451.50 : x
  2. Step 2: Convert to fraction form
    22,281.75/48,451.50 = 48,451.50/x
  3. Step 3: Cross multiply
    22,281.75x = 48,451.50 × 48,451.50
  4. Step 4: Simplify right side
    22,281.75x = 2,347,547,852.25
  5. Step 5: Solve for x
    x = 2,347,547,852.25/22,281.75
  6. Step 6: Final answer
    x = 105,357.43

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