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Finding the Third Proportional to 36,590 and 53,582

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Solution

The third proportional to 36,590 and 53,582 is: 78,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,590 : 53,582 = 53,582 : x
  2. Step 2: Convert to fraction form
    36,590/53,582 = 53,582/x
  3. Step 3: Cross multiply
    36,590x = 53,582 × 53,582
  4. Step 4: Simplify right side
    36,590x = 2,871,030,724
  5. Step 5: Solve for x
    x = 2,871,030,724/36,590
  6. Step 6: Final answer
    x = 78,464.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.