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Finding the Third Proportional to 22,324 and 34,594

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Solution

The third proportional to 22,324 and 34,594 is: 53,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324 : 34,594 = 34,594 : x
  2. Step 2: Convert to fraction form
    22,324/34,594 = 34,594/x
  3. Step 3: Cross multiply
    22,324x = 34,594 × 34,594
  4. Step 4: Simplify right side
    22,324x = 1,196,744,836
  5. Step 5: Solve for x
    x = 1,196,744,836/22,324
  6. Step 6: Final answer
    x = 53,607.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.