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Finding the Third Proportional to 14,586 and 35,007

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Solution

The third proportional to 14,586 and 35,007 is: 84,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586 : 35,007 = 35,007 : x
  2. Step 2: Convert to fraction form
    14,586/35,007 = 35,007/x
  3. Step 3: Cross multiply
    14,586x = 35,007 × 35,007
  4. Step 4: Simplify right side
    14,586x = 1,225,490,049
  5. Step 5: Solve for x
    x = 1,225,490,049/14,586
  6. Step 6: Final answer
    x = 84,018.24

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.