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Finding the Third Proportional to 40,368 and 85,347

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Solution

The third proportional to 40,368 and 85,347 is: 180,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,368 : 85,347 = 85,347 : x
  2. Step 2: Convert to fraction form
    40,368/85,347 = 85,347/x
  3. Step 3: Cross multiply
    40,368x = 85,347 × 85,347
  4. Step 4: Simplify right side
    40,368x = 7,284,110,409
  5. Step 5: Solve for x
    x = 7,284,110,409/40,368
  6. Step 6: Final answer
    x = 180,442.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.