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Finding the Third Proportional to 24,130 and 52,724

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Solution

The third proportional to 24,130 and 52,724 is: 115,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,130 : 52,724 = 52,724 : x
  2. Step 2: Convert to fraction form
    24,130/52,724 = 52,724/x
  3. Step 3: Cross multiply
    24,130x = 52,724 × 52,724
  4. Step 4: Simplify right side
    24,130x = 2,779,820,176
  5. Step 5: Solve for x
    x = 2,779,820,176/24,130
  6. Step 6: Final answer
    x = 115,201.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.