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Finding the Third Proportional to 21,376 and 45,656

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Solution

The third proportional to 21,376 and 45,656 is: 97,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376 : 45,656 = 45,656 : x
  2. Step 2: Convert to fraction form
    21,376/45,656 = 45,656/x
  3. Step 3: Cross multiply
    21,376x = 45,656 × 45,656
  4. Step 4: Simplify right side
    21,376x = 2,084,470,336
  5. Step 5: Solve for x
    x = 2,084,470,336/21,376
  6. Step 6: Final answer
    x = 97,514.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.