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Finding the Third Proportional to 52,873 and 70,488.50

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Solution

The third proportional to 52,873 and 70,488.50 is: 93,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,873 : 70,488.50 = 70,488.50 : x
  2. Step 2: Convert to fraction form
    52,873/70,488.50 = 70,488.50/x
  3. Step 3: Cross multiply
    52,873x = 70,488.50 × 70,488.50
  4. Step 4: Simplify right side
    52,873x = 4,968,628,632.25
  5. Step 5: Solve for x
    x = 4,968,628,632.25/52,873
  6. Step 6: Final answer
    x = 93,972.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.