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Finding the Third Proportional to 32,490 and 67,533.50

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Solution

The third proportional to 32,490 and 67,533.50 is: 140,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,490 : 67,533.50 = 67,533.50 : x
  2. Step 2: Convert to fraction form
    32,490/67,533.50 = 67,533.50/x
  3. Step 3: Cross multiply
    32,490x = 67,533.50 × 67,533.50
  4. Step 4: Simplify right side
    32,490x = 4,560,773,622.25
  5. Step 5: Solve for x
    x = 4,560,773,622.25/32,490
  6. Step 6: Final answer
    x = 140,374.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.