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Finding the Third Proportional to 62,816.50 and 70,653.50

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Solution

The third proportional to 62,816.50 and 70,653.50 is: 79,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,816.50 : 70,653.50 = 70,653.50 : x
  2. Step 2: Convert to fraction form
    62,816.50/70,653.50 = 70,653.50/x
  3. Step 3: Cross multiply
    62,816.50x = 70,653.50 × 70,653.50
  4. Step 4: Simplify right side
    62,816.50x = 4,991,917,062.25
  5. Step 5: Solve for x
    x = 4,991,917,062.25/62,816.50
  6. Step 6: Final answer
    x = 79,468.25

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These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.