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Finding the Third Proportional to 22,031 and 46,574

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Solution

The third proportional to 22,031 and 46,574 is: 98,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031 : 46,574 = 46,574 : x
  2. Step 2: Convert to fraction form
    22,031/46,574 = 46,574/x
  3. Step 3: Cross multiply
    22,031x = 46,574 × 46,574
  4. Step 4: Simplify right side
    22,031x = 2,169,137,476
  5. Step 5: Solve for x
    x = 2,169,137,476/22,031
  6. Step 6: Final answer
    x = 98,458.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.