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Finding the Third Proportional to 32,725.69 and 70,673.06

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Solution

The third proportional to 32,725.69 and 70,673.06 is: 152,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,725.69 : 70,673.06 = 70,673.06 : x
  2. Step 2: Convert to fraction form
    32,725.69/70,673.06 = 70,673.06/x
  3. Step 3: Cross multiply
    32,725.69x = 70,673.06 × 70,673.06
  4. Step 4: Simplify right side
    32,725.69x = 4,994,681,763.13
  5. Step 5: Solve for x
    x = 4,994,681,763.13/32,725.69
  6. Step 6: Final answer
    x = 152,622.67

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