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Finding the Third Proportional to 42,601.50 and 49,221

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Solution

The third proportional to 42,601.50 and 49,221 is: 56,869.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,601.50 : 49,221 = 49,221 : x
  2. Step 2: Convert to fraction form
    42,601.50/49,221 = 49,221/x
  3. Step 3: Cross multiply
    42,601.50x = 49,221 × 49,221
  4. Step 4: Simplify right side
    42,601.50x = 2,422,706,841
  5. Step 5: Solve for x
    x = 2,422,706,841/42,601.50
  6. Step 6: Final answer
    x = 56,869.05

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.