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Finding the Third Proportional to 19,964 and 30,207

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Solution

The third proportional to 19,964 and 30,207 is: 45,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,964 : 30,207 = 30,207 : x
  2. Step 2: Convert to fraction form
    19,964/30,207 = 30,207/x
  3. Step 3: Cross multiply
    19,964x = 30,207 × 30,207
  4. Step 4: Simplify right side
    19,964x = 912,462,849
  5. Step 5: Solve for x
    x = 912,462,849/19,964
  6. Step 6: Final answer
    x = 45,705.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.