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Finding the Third Proportional to 7,054 and 16,403

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Solution

The third proportional to 7,054 and 16,403 is: 38,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054 : 16,403 = 16,403 : x
  2. Step 2: Convert to fraction form
    7,054/16,403 = 16,403/x
  3. Step 3: Cross multiply
    7,054x = 16,403 × 16,403
  4. Step 4: Simplify right side
    7,054x = 269,058,409
  5. Step 5: Solve for x
    x = 269,058,409/7,054
  6. Step 6: Final answer
    x = 38,142.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.