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Finding the Third Proportional to 4,636.13 and 10,018.13

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Solution

The third proportional to 4,636.13 and 10,018.13 is: 21,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.13 : 10,018.13 = 10,018.13 : x
  2. Step 2: Convert to fraction form
    4,636.13/10,018.13 = 10,018.13/x
  3. Step 3: Cross multiply
    4,636.13x = 10,018.13 × 10,018.13
  4. Step 4: Simplify right side
    4,636.13x = 100,362,828.52
  5. Step 5: Solve for x
    x = 100,362,828.52/4,636.13
  6. Step 6: Final answer
    x = 21,648.00

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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.