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Finding the Third Proportional to 7,402 and 15,763

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Solution

The third proportional to 7,402 and 15,763 is: 33,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402 : 15,763 = 15,763 : x
  2. Step 2: Convert to fraction form
    7,402/15,763 = 15,763/x
  3. Step 3: Cross multiply
    7,402x = 15,763 × 15,763
  4. Step 4: Simplify right side
    7,402x = 248,472,169
  5. Step 5: Solve for x
    x = 248,472,169/7,402
  6. Step 6: Final answer
    x = 33,568.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.