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Finding the Third Proportional to 22,880 and 46,875.25

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Solution

The third proportional to 22,880 and 46,875.25 is: 96,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880 : 46,875.25 = 46,875.25 : x
  2. Step 2: Convert to fraction form
    22,880/46,875.25 = 46,875.25/x
  3. Step 3: Cross multiply
    22,880x = 46,875.25 × 46,875.25
  4. Step 4: Simplify right side
    22,880x = 2,197,289,062.56
  5. Step 5: Solve for x
    x = 2,197,289,062.56/22,880
  6. Step 6: Final answer
    x = 96,035.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.