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Finding the Third Proportional to 25,395 and 39,232.50

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Solution

The third proportional to 25,395 and 39,232.50 is: 60,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,395 : 39,232.50 = 39,232.50 : x
  2. Step 2: Convert to fraction form
    25,395/39,232.50 = 39,232.50/x
  3. Step 3: Cross multiply
    25,395x = 39,232.50 × 39,232.50
  4. Step 4: Simplify right side
    25,395x = 1,539,189,056.25
  5. Step 5: Solve for x
    x = 1,539,189,056.25/25,395
  6. Step 6: Final answer
    x = 60,609.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.