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Finding the Third Proportional to 30,319.50 and 70,822.50

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Solution

The third proportional to 30,319.50 and 70,822.50 is: 165,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.50 : 70,822.50 = 70,822.50 : x
  2. Step 2: Convert to fraction form
    30,319.50/70,822.50 = 70,822.50/x
  3. Step 3: Cross multiply
    30,319.50x = 70,822.50 × 70,822.50
  4. Step 4: Simplify right side
    30,319.50x = 5,015,826,506.25
  5. Step 5: Solve for x
    x = 5,015,826,506.25/30,319.50
  6. Step 6: Final answer
    x = 165,432.36

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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.