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Finding the Third Proportional to 7,254 and 14,719

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Solution

The third proportional to 7,254 and 14,719 is: 29,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254 : 14,719 = 14,719 : x
  2. Step 2: Convert to fraction form
    7,254/14,719 = 14,719/x
  3. Step 3: Cross multiply
    7,254x = 14,719 × 14,719
  4. Step 4: Simplify right side
    7,254x = 216,648,961
  5. Step 5: Solve for x
    x = 216,648,961/7,254
  6. Step 6: Final answer
    x = 29,866.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.