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Finding the Third Proportional to 15,597.50 and 34,111

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Solution

The third proportional to 15,597.50 and 34,111 is: 74,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.50 : 34,111 = 34,111 : x
  2. Step 2: Convert to fraction form
    15,597.50/34,111 = 34,111/x
  3. Step 3: Cross multiply
    15,597.50x = 34,111 × 34,111
  4. Step 4: Simplify right side
    15,597.50x = 1,163,560,321
  5. Step 5: Solve for x
    x = 1,163,560,321/15,597.50
  6. Step 6: Final answer
    x = 74,599.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.