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Finding the Third Proportional to 21,320 and 46,522

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Solution

The third proportional to 21,320 and 46,522 is: 101,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320 : 46,522 = 46,522 : x
  2. Step 2: Convert to fraction form
    21,320/46,522 = 46,522/x
  3. Step 3: Cross multiply
    21,320x = 46,522 × 46,522
  4. Step 4: Simplify right side
    21,320x = 2,164,296,484
  5. Step 5: Solve for x
    x = 2,164,296,484/21,320
  6. Step 6: Final answer
    x = 101,514.84

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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.