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Finding the Third Proportional to 45,426 and 65,025

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Solution

The third proportional to 45,426 and 65,025 is: 93,079.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,426 : 65,025 = 65,025 : x
  2. Step 2: Convert to fraction form
    45,426/65,025 = 65,025/x
  3. Step 3: Cross multiply
    45,426x = 65,025 × 65,025
  4. Step 4: Simplify right side
    45,426x = 4,228,250,625
  5. Step 5: Solve for x
    x = 4,228,250,625/45,426
  6. Step 6: Final answer
    x = 93,079.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.