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Finding the Third Proportional to 25,123.50 and 53,220.38

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Solution

The third proportional to 25,123.50 and 53,220.38 is: 112,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,123.50 : 53,220.38 = 53,220.38 : x
  2. Step 2: Convert to fraction form
    25,123.50/53,220.38 = 53,220.38/x
  3. Step 3: Cross multiply
    25,123.50x = 53,220.38 × 53,220.38
  4. Step 4: Simplify right side
    25,123.50x = 2,832,408,315.14
  5. Step 5: Solve for x
    x = 2,832,408,315.14/25,123.50
  6. Step 6: Final answer
    x = 112,739.40

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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.