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Finding the Third Proportional to 33,271.50 and 48,618

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Solution

The third proportional to 33,271.50 and 48,618 is: 71,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,271.50 : 48,618 = 48,618 : x
  2. Step 2: Convert to fraction form
    33,271.50/48,618 = 48,618/x
  3. Step 3: Cross multiply
    33,271.50x = 48,618 × 48,618
  4. Step 4: Simplify right side
    33,271.50x = 2,363,709,924
  5. Step 5: Solve for x
    x = 2,363,709,924/33,271.50
  6. Step 6: Final answer
    x = 71,043.08

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.