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Finding the Third Proportional to 31,828 and 70,011.50

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Solution

The third proportional to 31,828 and 70,011.50 is: 154,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,828 : 70,011.50 = 70,011.50 : x
  2. Step 2: Convert to fraction form
    31,828/70,011.50 = 70,011.50/x
  3. Step 3: Cross multiply
    31,828x = 70,011.50 × 70,011.50
  4. Step 4: Simplify right side
    31,828x = 4,901,610,132.25
  5. Step 5: Solve for x
    x = 4,901,610,132.25/31,828
  6. Step 6: Final answer
    x = 154,003.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.