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Finding the Third Proportional to 32,751 and 70,719.75

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Solution

The third proportional to 32,751 and 70,719.75 is: 152,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751 : 70,719.75 = 70,719.75 : x
  2. Step 2: Convert to fraction form
    32,751/70,719.75 = 70,719.75/x
  3. Step 3: Cross multiply
    32,751x = 70,719.75 × 70,719.75
  4. Step 4: Simplify right side
    32,751x = 5,001,283,040.06
  5. Step 5: Solve for x
    x = 5,001,283,040.06/32,751
  6. Step 6: Final answer
    x = 152,706.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.