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Finding the Third Proportional to 40,065 and 85,492.88

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Solution

The third proportional to 40,065 and 85,492.88 is: 182,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,065 : 85,492.88 = 85,492.88 : x
  2. Step 2: Convert to fraction form
    40,065/85,492.88 = 85,492.88/x
  3. Step 3: Cross multiply
    40,065x = 85,492.88 × 85,492.88
  4. Step 4: Simplify right side
    40,065x = 7,309,031,675.77
  5. Step 5: Solve for x
    x = 7,309,031,675.77/40,065
  6. Step 6: Final answer
    x = 182,429.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.