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Finding the Third Proportional to 22,033 and 31,575.50

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Solution

The third proportional to 22,033 and 31,575.50 is: 45,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033 : 31,575.50 = 31,575.50 : x
  2. Step 2: Convert to fraction form
    22,033/31,575.50 = 31,575.50/x
  3. Step 3: Cross multiply
    22,033x = 31,575.50 × 31,575.50
  4. Step 4: Simplify right side
    22,033x = 997,012,200.25
  5. Step 5: Solve for x
    x = 997,012,200.25/22,033
  6. Step 6: Final answer
    x = 45,250.86

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.