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Finding the Third Proportional to 30,122 and 46,852

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Solution

The third proportional to 30,122 and 46,852 is: 72,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122 : 46,852 = 46,852 : x
  2. Step 2: Convert to fraction form
    30,122/46,852 = 46,852/x
  3. Step 3: Cross multiply
    30,122x = 46,852 × 46,852
  4. Step 4: Simplify right side
    30,122x = 2,195,109,904
  5. Step 5: Solve for x
    x = 2,195,109,904/30,122
  6. Step 6: Final answer
    x = 72,873.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.