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Finding the Third Proportional to 30,095 and 45,144

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Solution

The third proportional to 30,095 and 45,144 is: 67,718.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,095 : 45,144 = 45,144 : x
  2. Step 2: Convert to fraction form
    30,095/45,144 = 45,144/x
  3. Step 3: Cross multiply
    30,095x = 45,144 × 45,144
  4. Step 4: Simplify right side
    30,095x = 2,037,980,736
  5. Step 5: Solve for x
    x = 2,037,980,736/30,095
  6. Step 6: Final answer
    x = 67,718.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.