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Finding the Third Proportional to 25,560 and 33,618

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Solution

The third proportional to 25,560 and 33,618 is: 44,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,560 : 33,618 = 33,618 : x
  2. Step 2: Convert to fraction form
    25,560/33,618 = 33,618/x
  3. Step 3: Cross multiply
    25,560x = 33,618 × 33,618
  4. Step 4: Simplify right side
    25,560x = 1,130,169,924
  5. Step 5: Solve for x
    x = 1,130,169,924/25,560
  6. Step 6: Final answer
    x = 44,216.35

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.