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Finding the Third Proportional to 25,119 and 34,207.50

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Solution

The third proportional to 25,119 and 34,207.50 is: 46,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,119 : 34,207.50 = 34,207.50 : x
  2. Step 2: Convert to fraction form
    25,119/34,207.50 = 34,207.50/x
  3. Step 3: Cross multiply
    25,119x = 34,207.50 × 34,207.50
  4. Step 4: Simplify right side
    25,119x = 1,170,153,056.25
  5. Step 5: Solve for x
    x = 1,170,153,056.25/25,119
  6. Step 6: Final answer
    x = 46,584.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.