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Finding the Third Proportional to 45,720 and 59,400

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Solution

The third proportional to 45,720 and 59,400 is: 77,173.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,720 : 59,400 = 59,400 : x
  2. Step 2: Convert to fraction form
    45,720/59,400 = 59,400/x
  3. Step 3: Cross multiply
    45,720x = 59,400 × 59,400
  4. Step 4: Simplify right side
    45,720x = 3,528,360,000
  5. Step 5: Solve for x
    x = 3,528,360,000/45,720
  6. Step 6: Final answer
    x = 77,173.23

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.