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Finding the Third Proportional to 25,921 and 60,698.50

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Solution

The third proportional to 25,921 and 60,698.50 is: 142,136.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 60,698.50 = 60,698.50 : x
  2. Step 2: Convert to fraction form
    25,921/60,698.50 = 60,698.50/x
  3. Step 3: Cross multiply
    25,921x = 60,698.50 × 60,698.50
  4. Step 4: Simplify right side
    25,921x = 3,684,307,902.25
  5. Step 5: Solve for x
    x = 3,684,307,902.25/25,921
  6. Step 6: Final answer
    x = 142,136.02

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.