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Finding the Third Proportional to 22,360 and 46,556

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Solution

The third proportional to 22,360 and 46,556 is: 96,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,360 : 46,556 = 46,556 : x
  2. Step 2: Convert to fraction form
    22,360/46,556 = 46,556/x
  3. Step 3: Cross multiply
    22,360x = 46,556 × 46,556
  4. Step 4: Simplify right side
    22,360x = 2,167,461,136
  5. Step 5: Solve for x
    x = 2,167,461,136/22,360
  6. Step 6: Final answer
    x = 96,934.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.