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Finding the Third Proportional to 36,153 and 37,246.50

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Solution

The third proportional to 36,153 and 37,246.50 is: 38,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153 : 37,246.50 = 37,246.50 : x
  2. Step 2: Convert to fraction form
    36,153/37,246.50 = 37,246.50/x
  3. Step 3: Cross multiply
    36,153x = 37,246.50 × 37,246.50
  4. Step 4: Simplify right side
    36,153x = 1,387,301,762.25
  5. Step 5: Solve for x
    x = 1,387,301,762.25/36,153
  6. Step 6: Final answer
    x = 38,373.07

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.