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Finding the Third Proportional to 11,457 and 24,618

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Solution

The third proportional to 11,457 and 24,618 is: 52,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 24,618 = 24,618 : x
  2. Step 2: Convert to fraction form
    11,457/24,618 = 24,618/x
  3. Step 3: Cross multiply
    11,457x = 24,618 × 24,618
  4. Step 4: Simplify right side
    11,457x = 606,045,924
  5. Step 5: Solve for x
    x = 606,045,924/11,457
  6. Step 6: Final answer
    x = 52,897.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.