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Finding the Third Proportional to 14,235 and 23,719

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Solution

The third proportional to 14,235 and 23,719 is: 39,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235 : 23,719 = 23,719 : x
  2. Step 2: Convert to fraction form
    14,235/23,719 = 23,719/x
  3. Step 3: Cross multiply
    14,235x = 23,719 × 23,719
  4. Step 4: Simplify right side
    14,235x = 562,590,961
  5. Step 5: Solve for x
    x = 562,590,961/14,235
  6. Step 6: Final answer
    x = 39,521.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.