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Finding the Third Proportional to 22,681.13 and 35,446.50

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Solution

The third proportional to 22,681.13 and 35,446.50 is: 55,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.13 : 35,446.50 = 35,446.50 : x
  2. Step 2: Convert to fraction form
    22,681.13/35,446.50 = 35,446.50/x
  3. Step 3: Cross multiply
    22,681.13x = 35,446.50 × 35,446.50
  4. Step 4: Simplify right side
    22,681.13x = 1,256,454,362.25
  5. Step 5: Solve for x
    x = 1,256,454,362.25/22,681.13
  6. Step 6: Final answer
    x = 55,396.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.