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Finding the Third Proportional to 43,050 and 64,618

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Solution

The third proportional to 43,050 and 64,618 is: 96,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,050 : 64,618 = 64,618 : x
  2. Step 2: Convert to fraction form
    43,050/64,618 = 64,618/x
  3. Step 3: Cross multiply
    43,050x = 64,618 × 64,618
  4. Step 4: Simplify right side
    43,050x = 4,175,485,924
  5. Step 5: Solve for x
    x = 4,175,485,924/43,050
  6. Step 6: Final answer
    x = 96,991.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.