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Finding the Third Proportional to 36,103 and 48,618

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Solution

The third proportional to 36,103 and 48,618 is: 65,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,103 : 48,618 = 48,618 : x
  2. Step 2: Convert to fraction form
    36,103/48,618 = 48,618/x
  3. Step 3: Cross multiply
    36,103x = 48,618 × 48,618
  4. Step 4: Simplify right side
    36,103x = 2,363,709,924
  5. Step 5: Solve for x
    x = 2,363,709,924/36,103
  6. Step 6: Final answer
    x = 65,471.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.