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Finding the Third Proportional to 25,196.06 and 36,421.88

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Solution

The third proportional to 25,196.06 and 36,421.88 is: 52,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.06 : 36,421.88 = 36,421.88 : x
  2. Step 2: Convert to fraction form
    25,196.06/36,421.88 = 36,421.88/x
  3. Step 3: Cross multiply
    25,196.06x = 36,421.88 × 36,421.88
  4. Step 4: Simplify right side
    25,196.06x = 1,326,552,978.52
  5. Step 5: Solve for x
    x = 1,326,552,978.52/25,196.06
  6. Step 6: Final answer
    x = 52,649.22

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.