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Finding the Third Proportional to 34,307 and 45,538

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Solution

The third proportional to 34,307 and 45,538 is: 60,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,307 : 45,538 = 45,538 : x
  2. Step 2: Convert to fraction form
    34,307/45,538 = 45,538/x
  3. Step 3: Cross multiply
    34,307x = 45,538 × 45,538
  4. Step 4: Simplify right side
    34,307x = 2,073,709,444
  5. Step 5: Solve for x
    x = 2,073,709,444/34,307
  6. Step 6: Final answer
    x = 60,445.67

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.