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Finding the Third Proportional to 36,580 and 53,570

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Solution

The third proportional to 36,580 and 53,570 is: 78,451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,580 : 53,570 = 53,570 : x
  2. Step 2: Convert to fraction form
    36,580/53,570 = 53,570/x
  3. Step 3: Cross multiply
    36,580x = 53,570 × 53,570
  4. Step 4: Simplify right side
    36,580x = 2,869,744,900
  5. Step 5: Solve for x
    x = 2,869,744,900/36,580
  6. Step 6: Final answer
    x = 78,451.20

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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.