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Finding the Third Proportional to 30,502.78 and 62,492.02

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Solution

The third proportional to 30,502.78 and 62,492.02 is: 128,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,502.78 : 62,492.02 = 62,492.02 : x
  2. Step 2: Convert to fraction form
    30,502.78/62,492.02 = 62,492.02/x
  3. Step 3: Cross multiply
    30,502.78x = 62,492.02 × 62,492.02
  4. Step 4: Simplify right side
    30,502.78x = 3,905,252,016.88
  5. Step 5: Solve for x
    x = 3,905,252,016.88/30,502.78
  6. Step 6: Final answer
    x = 128,029.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.