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Finding the Third Proportional to 38,664 and 84,429

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Solution

The third proportional to 38,664 and 84,429 is: 184,364.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,664 : 84,429 = 84,429 : x
  2. Step 2: Convert to fraction form
    38,664/84,429 = 84,429/x
  3. Step 3: Cross multiply
    38,664x = 84,429 × 84,429
  4. Step 4: Simplify right side
    38,664x = 7,128,256,041
  5. Step 5: Solve for x
    x = 7,128,256,041/38,664
  6. Step 6: Final answer
    x = 184,364.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.