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Finding the Third Proportional to 33,729 and 48,585

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Solution

The third proportional to 33,729 and 48,585 is: 69,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729 : 48,585 = 48,585 : x
  2. Step 2: Convert to fraction form
    33,729/48,585 = 48,585/x
  3. Step 3: Cross multiply
    33,729x = 48,585 × 48,585
  4. Step 4: Simplify right side
    33,729x = 2,360,502,225
  5. Step 5: Solve for x
    x = 2,360,502,225/33,729
  6. Step 6: Final answer
    x = 69,984.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.