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Finding the Third Proportional to 22,316 and 34,574

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Solution

The third proportional to 22,316 and 34,574 is: 53,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316 : 34,574 = 34,574 : x
  2. Step 2: Convert to fraction form
    22,316/34,574 = 34,574/x
  3. Step 3: Cross multiply
    22,316x = 34,574 × 34,574
  4. Step 4: Simplify right side
    22,316x = 1,195,361,476
  5. Step 5: Solve for x
    x = 1,195,361,476/22,316
  6. Step 6: Final answer
    x = 53,565.22

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Why These Related Problems?

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