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Finding the Third Proportional to 11,020 and 14,586

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Solution

The third proportional to 11,020 and 14,586 is: 19,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020 : 14,586 = 14,586 : x
  2. Step 2: Convert to fraction form
    11,020/14,586 = 14,586/x
  3. Step 3: Cross multiply
    11,020x = 14,586 × 14,586
  4. Step 4: Simplify right side
    11,020x = 212,751,396
  5. Step 5: Solve for x
    x = 212,751,396/11,020
  6. Step 6: Final answer
    x = 19,305.93

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.