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Finding the Third Proportional to 24,570 and 53,055

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Solution

The third proportional to 24,570 and 53,055 is: 114,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 53,055 = 53,055 : x
  2. Step 2: Convert to fraction form
    24,570/53,055 = 53,055/x
  3. Step 3: Cross multiply
    24,570x = 53,055 × 53,055
  4. Step 4: Simplify right side
    24,570x = 2,814,833,025
  5. Step 5: Solve for x
    x = 2,814,833,025/24,570
  6. Step 6: Final answer
    x = 114,563.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.