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Finding the Third Proportional to 21,136.13 and 45,598.13

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Solution

The third proportional to 21,136.13 and 45,598.13 is: 98,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,136.13 : 45,598.13 = 45,598.13 : x
  2. Step 2: Convert to fraction form
    21,136.13/45,598.13 = 45,598.13/x
  3. Step 3: Cross multiply
    21,136.13x = 45,598.13 × 45,598.13
  4. Step 4: Simplify right side
    21,136.13x = 2,079,189,003.52
  5. Step 5: Solve for x
    x = 2,079,189,003.52/21,136.13
  6. Step 6: Final answer
    x = 98,371.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.