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Finding the Third Proportional to 30,534.75 and 48,466.69

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Solution

The third proportional to 30,534.75 and 48,466.69 is: 76,929.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.75 : 48,466.69 = 48,466.69 : x
  2. Step 2: Convert to fraction form
    30,534.75/48,466.69 = 48,466.69/x
  3. Step 3: Cross multiply
    30,534.75x = 48,466.69 × 48,466.69
  4. Step 4: Simplify right side
    30,534.75x = 2,349,019,797.22
  5. Step 5: Solve for x
    x = 2,349,019,797.22/30,534.75
  6. Step 6: Final answer
    x = 76,929.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.