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Finding the Third Proportional to 36,457.59 and 59,531.63

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Solution

The third proportional to 36,457.59 and 59,531.63 is: 97,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,457.59 : 59,531.63 = 59,531.63 : x
  2. Step 2: Convert to fraction form
    36,457.59/59,531.63 = 59,531.63/x
  3. Step 3: Cross multiply
    36,457.59x = 59,531.63 × 59,531.63
  4. Step 4: Simplify right side
    36,457.59x = 3,544,014,375.14
  5. Step 5: Solve for x
    x = 3,544,014,375.14/36,457.59
  6. Step 6: Final answer
    x = 97,209.22

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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.