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Finding the Third Proportional to 7,315 and 16,018

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Solution

The third proportional to 7,315 and 16,018 is: 35,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315 : 16,018 = 16,018 : x
  2. Step 2: Convert to fraction form
    7,315/16,018 = 16,018/x
  3. Step 3: Cross multiply
    7,315x = 16,018 × 16,018
  4. Step 4: Simplify right side
    7,315x = 256,576,324
  5. Step 5: Solve for x
    x = 256,576,324/7,315
  6. Step 6: Final answer
    x = 35,075.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.