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Finding the Third Proportional to 40,833 and 63,065

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Solution

The third proportional to 40,833 and 63,065 is: 97,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 63,065 = 63,065 : x
  2. Step 2: Convert to fraction form
    40,833/63,065 = 63,065/x
  3. Step 3: Cross multiply
    40,833x = 63,065 × 63,065
  4. Step 4: Simplify right side
    40,833x = 3,977,194,225
  5. Step 5: Solve for x
    x = 3,977,194,225/40,833
  6. Step 6: Final answer
    x = 97,401.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.