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Finding the Third Proportional to 22,069.50 and 31,527

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Solution

The third proportional to 22,069.50 and 31,527 is: 45,037.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,069.50 : 31,527 = 31,527 : x
  2. Step 2: Convert to fraction form
    22,069.50/31,527 = 31,527/x
  3. Step 3: Cross multiply
    22,069.50x = 31,527 × 31,527
  4. Step 4: Simplify right side
    22,069.50x = 993,951,729
  5. Step 5: Solve for x
    x = 993,951,729/22,069.50
  6. Step 6: Final answer
    x = 45,037.35

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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.