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Finding the Third Proportional to 21,567 and 46,931

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Solution

The third proportional to 21,567 and 46,931 is: 102,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567 : 46,931 = 46,931 : x
  2. Step 2: Convert to fraction form
    21,567/46,931 = 46,931/x
  3. Step 3: Cross multiply
    21,567x = 46,931 × 46,931
  4. Step 4: Simplify right side
    21,567x = 2,202,518,761
  5. Step 5: Solve for x
    x = 2,202,518,761/21,567
  6. Step 6: Final answer
    x = 102,124.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.