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Finding the Third Proportional to 23,565 and 49,553.63

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Solution

The third proportional to 23,565 and 49,553.63 is: 104,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565 : 49,553.63 = 49,553.63 : x
  2. Step 2: Convert to fraction form
    23,565/49,553.63 = 49,553.63/x
  3. Step 3: Cross multiply
    23,565x = 49,553.63 × 49,553.63
  4. Step 4: Simplify right side
    23,565x = 2,455,561,750.64
  5. Step 5: Solve for x
    x = 2,455,561,750.64/23,565
  6. Step 6: Final answer
    x = 104,203.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.