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Finding the Third Proportional to 36,459.75 and 59,534.63

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Solution

The third proportional to 36,459.75 and 59,534.63 is: 97,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,459.75 : 59,534.63 = 59,534.63 : x
  2. Step 2: Convert to fraction form
    36,459.75/59,534.63 = 59,534.63/x
  3. Step 3: Cross multiply
    36,459.75x = 59,534.63 × 59,534.63
  4. Step 4: Simplify right side
    36,459.75x = 3,544,371,573.89
  5. Step 5: Solve for x
    x = 3,544,371,573.89/36,459.75
  6. Step 6: Final answer
    x = 97,213.27

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.