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Finding the Third Proportional to 32,969 and 45,120

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Solution

The third proportional to 32,969 and 45,120 is: 61,749.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969 : 45,120 = 45,120 : x
  2. Step 2: Convert to fraction form
    32,969/45,120 = 45,120/x
  3. Step 3: Cross multiply
    32,969x = 45,120 × 45,120
  4. Step 4: Simplify right side
    32,969x = 2,035,814,400
  5. Step 5: Solve for x
    x = 2,035,814,400/32,969
  6. Step 6: Final answer
    x = 61,749.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.