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Finding the Third Proportional to 45,372 and 59,310

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Solution

The third proportional to 45,372 and 59,310 is: 77,529.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,372 : 59,310 = 59,310 : x
  2. Step 2: Convert to fraction form
    45,372/59,310 = 59,310/x
  3. Step 3: Cross multiply
    45,372x = 59,310 × 59,310
  4. Step 4: Simplify right side
    45,372x = 3,517,676,100
  5. Step 5: Solve for x
    x = 3,517,676,100/45,372
  6. Step 6: Final answer
    x = 77,529.67

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.