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Finding the Third Proportional to 34,534.50 and 72,552

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Solution

The third proportional to 34,534.50 and 72,552 is: 152,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,534.50 : 72,552 = 72,552 : x
  2. Step 2: Convert to fraction form
    34,534.50/72,552 = 72,552/x
  3. Step 3: Cross multiply
    34,534.50x = 72,552 × 72,552
  4. Step 4: Simplify right side
    34,534.50x = 5,263,792,704
  5. Step 5: Solve for x
    x = 5,263,792,704/34,534.50
  6. Step 6: Final answer
    x = 152,421.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.