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Finding the Third Proportional to 16,100 and 25,618

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Solution

The third proportional to 16,100 and 25,618 is: 40,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100 : 25,618 = 25,618 : x
  2. Step 2: Convert to fraction form
    16,100/25,618 = 25,618/x
  3. Step 3: Cross multiply
    16,100x = 25,618 × 25,618
  4. Step 4: Simplify right side
    16,100x = 656,281,924
  5. Step 5: Solve for x
    x = 656,281,924/16,100
  6. Step 6: Final answer
    x = 40,762.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.