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Finding the Third Proportional to 21,307 and 46,460

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Solution

The third proportional to 21,307 and 46,460 is: 101,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,307 : 46,460 = 46,460 : x
  2. Step 2: Convert to fraction form
    21,307/46,460 = 46,460/x
  3. Step 3: Cross multiply
    21,307x = 46,460 × 46,460
  4. Step 4: Simplify right side
    21,307x = 2,158,531,600
  5. Step 5: Solve for x
    x = 2,158,531,600/21,307
  6. Step 6: Final answer
    x = 101,306.22

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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.