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Finding the Third Proportional to 40,506 and 54,195.50

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Solution

The third proportional to 40,506 and 54,195.50 is: 72,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,506 : 54,195.50 = 54,195.50 : x
  2. Step 2: Convert to fraction form
    40,506/54,195.50 = 54,195.50/x
  3. Step 3: Cross multiply
    40,506x = 54,195.50 × 54,195.50
  4. Step 4: Simplify right side
    40,506x = 2,937,152,220.25
  5. Step 5: Solve for x
    x = 2,937,152,220.25/40,506
  6. Step 6: Final answer
    x = 72,511.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.