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Finding the Third Proportional to 30,412.50 and 45,495

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Solution

The third proportional to 30,412.50 and 45,495 is: 68,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.50 : 45,495 = 45,495 : x
  2. Step 2: Convert to fraction form
    30,412.50/45,495 = 45,495/x
  3. Step 3: Cross multiply
    30,412.50x = 45,495 × 45,495
  4. Step 4: Simplify right side
    30,412.50x = 2,069,795,025
  5. Step 5: Solve for x
    x = 2,069,795,025/30,412.50
  6. Step 6: Final answer
    x = 68,057.38

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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.