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Finding the Third Proportional to 13,838.77 and 28,661.77

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Solution

The third proportional to 13,838.77 and 28,661.77 is: 59,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.77 : 28,661.77 = 28,661.77 : x
  2. Step 2: Convert to fraction form
    13,838.77/28,661.77 = 28,661.77/x
  3. Step 3: Cross multiply
    13,838.77x = 28,661.77 × 28,661.77
  4. Step 4: Simplify right side
    13,838.77x = 821,496,808.74
  5. Step 5: Solve for x
    x = 821,496,808.74/13,838.77
  6. Step 6: Final answer
    x = 59,362.00

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.