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Finding the Third Proportional to 25,152.19 and 53,299.69

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Solution

The third proportional to 25,152.19 and 53,299.69 is: 112,946.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,152.19 : 53,299.69 = 53,299.69 : x
  2. Step 2: Convert to fraction form
    25,152.19/53,299.69 = 53,299.69/x
  3. Step 3: Cross multiply
    25,152.19x = 53,299.69 × 53,299.69
  4. Step 4: Simplify right side
    25,152.19x = 2,840,856,687.60
  5. Step 5: Solve for x
    x = 2,840,856,687.60/25,152.19
  6. Step 6: Final answer
    x = 112,946.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.