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Finding the Third Proportional to 2,089.55 and 4,904.93

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Solution

The third proportional to 2,089.55 and 4,904.93 is: 11,513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.55 : 4,904.93 = 4,904.93 : x
  2. Step 2: Convert to fraction form
    2,089.55/4,904.93 = 4,904.93/x
  3. Step 3: Cross multiply
    2,089.55x = 4,904.93 × 4,904.93
  4. Step 4: Simplify right side
    2,089.55x = 24,058,335.24
  5. Step 5: Solve for x
    x = 24,058,335.24/2,089.55
  6. Step 6: Final answer
    x = 11,513.66

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.