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Finding the Third Proportional to 31,044 and 64,900.50

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Solution

The third proportional to 31,044 and 64,900.50 is: 135,680.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,044 : 64,900.50 = 64,900.50 : x
  2. Step 2: Convert to fraction form
    31,044/64,900.50 = 64,900.50/x
  3. Step 3: Cross multiply
    31,044x = 64,900.50 × 64,900.50
  4. Step 4: Simplify right side
    31,044x = 4,212,074,900.25
  5. Step 5: Solve for x
    x = 4,212,074,900.25/31,044
  6. Step 6: Final answer
    x = 135,680.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.