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Finding the Third Proportional to 18,495 and 40,275

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Solution

The third proportional to 18,495 and 40,275 is: 87,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,495 : 40,275 = 40,275 : x
  2. Step 2: Convert to fraction form
    18,495/40,275 = 40,275/x
  3. Step 3: Cross multiply
    18,495x = 40,275 × 40,275
  4. Step 4: Simplify right side
    18,495x = 1,622,075,625
  5. Step 5: Solve for x
    x = 1,622,075,625/18,495
  6. Step 6: Final answer
    x = 87,703.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.