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Finding the Third Proportional to 14,261.06 and 25,196.06

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Solution

The third proportional to 14,261.06 and 25,196.06 is: 44,515.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,261.06 : 25,196.06 = 25,196.06 : x
  2. Step 2: Convert to fraction form
    14,261.06/25,196.06 = 25,196.06/x
  3. Step 3: Cross multiply
    14,261.06x = 25,196.06 × 25,196.06
  4. Step 4: Simplify right side
    14,261.06x = 634,841,565.50
  5. Step 5: Solve for x
    x = 634,841,565.50/14,261.06
  6. Step 6: Final answer
    x = 44,515.73

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.