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Finding the Third Proportional to 36,346.50 and 53,109.84

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Solution

The third proportional to 36,346.50 and 53,109.84 is: 77,604.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,346.50 : 53,109.84 = 53,109.84 : x
  2. Step 2: Convert to fraction form
    36,346.50/53,109.84 = 53,109.84/x
  3. Step 3: Cross multiply
    36,346.50x = 53,109.84 × 53,109.84
  4. Step 4: Simplify right side
    36,346.50x = 2,820,655,503.15
  5. Step 5: Solve for x
    x = 2,820,655,503.15/36,346.50
  6. Step 6: Final answer
    x = 77,604.60

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