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Finding the Third Proportional to 7,297 and 10,054

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Solution

The third proportional to 7,297 and 10,054 is: 13,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297 : 10,054 = 10,054 : x
  2. Step 2: Convert to fraction form
    7,297/10,054 = 10,054/x
  3. Step 3: Cross multiply
    7,297x = 10,054 × 10,054
  4. Step 4: Simplify right side
    7,297x = 101,082,916
  5. Step 5: Solve for x
    x = 101,082,916/7,297
  6. Step 6: Final answer
    x = 13,852.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.