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Finding the Third Proportional to 1,872.50 and 4,060

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Solution

The third proportional to 1,872.50 and 4,060 is: 8,802.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.50 : 4,060 = 4,060 : x
  2. Step 2: Convert to fraction form
    1,872.50/4,060 = 4,060/x
  3. Step 3: Cross multiply
    1,872.50x = 4,060 × 4,060
  4. Step 4: Simplify right side
    1,872.50x = 16,483,600
  5. Step 5: Solve for x
    x = 16,483,600/1,872.50
  6. Step 6: Final answer
    x = 8,802.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.