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Finding the Third Proportional to 37,011 and 48,592.50

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Solution

The third proportional to 37,011 and 48,592.50 is: 63,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,011 : 48,592.50 = 48,592.50 : x
  2. Step 2: Convert to fraction form
    37,011/48,592.50 = 48,592.50/x
  3. Step 3: Cross multiply
    37,011x = 48,592.50 × 48,592.50
  4. Step 4: Simplify right side
    37,011x = 2,361,231,056.25
  5. Step 5: Solve for x
    x = 2,361,231,056.25/37,011
  6. Step 6: Final answer
    x = 63,798.09

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.