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Finding the Third Proportional to 30,297.50 and 64,807

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Solution

The third proportional to 30,297.50 and 64,807 is: 138,623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,297.50 : 64,807 = 64,807 : x
  2. Step 2: Convert to fraction form
    30,297.50/64,807 = 64,807/x
  3. Step 3: Cross multiply
    30,297.50x = 64,807 × 64,807
  4. Step 4: Simplify right side
    30,297.50x = 4,199,947,249
  5. Step 5: Solve for x
    x = 4,199,947,249/30,297.50
  6. Step 6: Final answer
    x = 138,623.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.