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Finding the Third Proportional to 24,466 and 53,618

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Solution

The third proportional to 24,466 and 53,618 is: 117,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466 : 53,618 = 53,618 : x
  2. Step 2: Convert to fraction form
    24,466/53,618 = 53,618/x
  3. Step 3: Cross multiply
    24,466x = 53,618 × 53,618
  4. Step 4: Simplify right side
    24,466x = 2,874,889,924
  5. Step 5: Solve for x
    x = 2,874,889,924/24,466
  6. Step 6: Final answer
    x = 117,505.51

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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.