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Finding the Third Proportional to 38,895.19 and 84,822.19

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Solution

The third proportional to 38,895.19 and 84,822.19 is: 184,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,895.19 : 84,822.19 = 84,822.19 : x
  2. Step 2: Convert to fraction form
    38,895.19/84,822.19 = 84,822.19/x
  3. Step 3: Cross multiply
    38,895.19x = 84,822.19 × 84,822.19
  4. Step 4: Simplify right side
    38,895.19x = 7,194,803,492.29
  5. Step 5: Solve for x
    x = 7,194,803,492.29/38,895.19
  6. Step 6: Final answer
    x = 184,979.27

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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.