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Finding the Third Proportional to 25,365 and 40,396.50

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Solution

The third proportional to 25,365 and 40,396.50 is: 64,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365 : 40,396.50 = 40,396.50 : x
  2. Step 2: Convert to fraction form
    25,365/40,396.50 = 40,396.50/x
  3. Step 3: Cross multiply
    25,365x = 40,396.50 × 40,396.50
  4. Step 4: Simplify right side
    25,365x = 1,631,877,212.25
  5. Step 5: Solve for x
    x = 1,631,877,212.25/25,365
  6. Step 6: Final answer
    x = 64,335.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.