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Finding the Third Proportional to 4,746.94 and 10,223.44

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Solution

The third proportional to 4,746.94 and 10,223.44 is: 22,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.94 : 10,223.44 = 10,223.44 : x
  2. Step 2: Convert to fraction form
    4,746.94/10,223.44 = 10,223.44/x
  3. Step 3: Cross multiply
    4,746.94x = 10,223.44 × 10,223.44
  4. Step 4: Simplify right side
    4,746.94x = 104,518,674.32
  5. Step 5: Solve for x
    x = 104,518,674.32/4,746.94
  6. Step 6: Final answer
    x = 22,018.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.