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Finding the Third Proportional to 29,038 and 43,444.50

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Solution

The third proportional to 29,038 and 43,444.50 is: 64,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,038 : 43,444.50 = 43,444.50 : x
  2. Step 2: Convert to fraction form
    29,038/43,444.50 = 43,444.50/x
  3. Step 3: Cross multiply
    29,038x = 43,444.50 × 43,444.50
  4. Step 4: Simplify right side
    29,038x = 1,887,424,580.25
  5. Step 5: Solve for x
    x = 1,887,424,580.25/29,038
  6. Step 6: Final answer
    x = 64,998.44

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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.