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Finding the Third Proportional to 30,409.50 and 45,492

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Solution

The third proportional to 30,409.50 and 45,492 is: 68,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.50 : 45,492 = 45,492 : x
  2. Step 2: Convert to fraction form
    30,409.50/45,492 = 45,492/x
  3. Step 3: Cross multiply
    30,409.50x = 45,492 × 45,492
  4. Step 4: Simplify right side
    30,409.50x = 2,069,522,064
  5. Step 5: Solve for x
    x = 2,069,522,064/30,409.50
  6. Step 6: Final answer
    x = 68,055.12

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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.