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Finding the Third Proportional to 25,636.50 and 53,865

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Solution

The third proportional to 25,636.50 and 53,865 is: 113,176.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,636.50 : 53,865 = 53,865 : x
  2. Step 2: Convert to fraction form
    25,636.50/53,865 = 53,865/x
  3. Step 3: Cross multiply
    25,636.50x = 53,865 × 53,865
  4. Step 4: Simplify right side
    25,636.50x = 2,901,438,225
  5. Step 5: Solve for x
    x = 2,901,438,225/25,636.50
  6. Step 6: Final answer
    x = 113,176.07

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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.