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Finding the Third Proportional to 23,541 and 51,618

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Solution

The third proportional to 23,541 and 51,618 is: 113,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,541 : 51,618 = 51,618 : x
  2. Step 2: Convert to fraction form
    23,541/51,618 = 51,618/x
  3. Step 3: Cross multiply
    23,541x = 51,618 × 51,618
  4. Step 4: Simplify right side
    23,541x = 2,664,417,924
  5. Step 5: Solve for x
    x = 2,664,417,924/23,541
  6. Step 6: Final answer
    x = 113,182.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.