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Finding the Third Proportional to 11,457 and 24,270

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Solution

The third proportional to 11,457 and 24,270 is: 51,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457 : 24,270 = 24,270 : x
  2. Step 2: Convert to fraction form
    11,457/24,270 = 24,270/x
  3. Step 3: Cross multiply
    11,457x = 24,270 × 24,270
  4. Step 4: Simplify right side
    11,457x = 589,032,900
  5. Step 5: Solve for x
    x = 589,032,900/11,457
  6. Step 6: Final answer
    x = 51,412.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.