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Finding the Third Proportional to 36,045 and 56,007

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Solution

The third proportional to 36,045 and 56,007 is: 87,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,045 : 56,007 = 56,007 : x
  2. Step 2: Convert to fraction form
    36,045/56,007 = 56,007/x
  3. Step 3: Cross multiply
    36,045x = 56,007 × 56,007
  4. Step 4: Simplify right side
    36,045x = 3,136,784,049
  5. Step 5: Solve for x
    x = 3,136,784,049/36,045
  6. Step 6: Final answer
    x = 87,024.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.