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Finding the Third Proportional to 25,800.19 and 53,205.19

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Solution

The third proportional to 25,800.19 and 53,205.19 is: 109,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.19 : 53,205.19 = 53,205.19 : x
  2. Step 2: Convert to fraction form
    25,800.19/53,205.19 = 53,205.19/x
  3. Step 3: Cross multiply
    25,800.19x = 53,205.19 × 53,205.19
  4. Step 4: Simplify right side
    25,800.19x = 2,830,791,976.91
  5. Step 5: Solve for x
    x = 2,830,791,976.91/25,800.19
  6. Step 6: Final answer
    x = 109,719.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.