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Finding the Third Proportional to 21,568.88 and 46,136.38

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Solution

The third proportional to 21,568.88 and 46,136.38 is: 98,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,568.88 : 46,136.38 = 46,136.38 : x
  2. Step 2: Convert to fraction form
    21,568.88/46,136.38 = 46,136.38/x
  3. Step 3: Cross multiply
    21,568.88x = 46,136.38 × 46,136.38
  4. Step 4: Simplify right side
    21,568.88x = 2,128,565,098.14
  5. Step 5: Solve for x
    x = 2,128,565,098.14/21,568.88
  6. Step 6: Final answer
    x = 98,686.89

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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.