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Finding the Third Proportional to 14,030 and 19,765

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Solution

The third proportional to 14,030 and 19,765 is: 27,844.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030 : 19,765 = 19,765 : x
  2. Step 2: Convert to fraction form
    14,030/19,765 = 19,765/x
  3. Step 3: Cross multiply
    14,030x = 19,765 × 19,765
  4. Step 4: Simplify right side
    14,030x = 390,655,225
  5. Step 5: Solve for x
    x = 390,655,225/14,030
  6. Step 6: Final answer
    x = 27,844.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.