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Finding the Third Proportional to 24,742 and 53,588

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Solution

The third proportional to 24,742 and 53,588 is: 116,064.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742 : 53,588 = 53,588 : x
  2. Step 2: Convert to fraction form
    24,742/53,588 = 53,588/x
  3. Step 3: Cross multiply
    24,742x = 53,588 × 53,588
  4. Step 4: Simplify right side
    24,742x = 2,871,673,744
  5. Step 5: Solve for x
    x = 2,871,673,744/24,742
  6. Step 6: Final answer
    x = 116,064.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.