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Finding the Third Proportional to 30,172.50 and 47,845.50

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Solution

The third proportional to 30,172.50 and 47,845.50 is: 75,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,172.50 : 47,845.50 = 47,845.50 : x
  2. Step 2: Convert to fraction form
    30,172.50/47,845.50 = 47,845.50/x
  3. Step 3: Cross multiply
    30,172.50x = 47,845.50 × 47,845.50
  4. Step 4: Simplify right side
    30,172.50x = 2,289,191,870.25
  5. Step 5: Solve for x
    x = 2,289,191,870.25/30,172.50
  6. Step 6: Final answer
    x = 75,870.14

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