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Finding the Third Proportional to 24,106 and 52,730

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Solution

The third proportional to 24,106 and 52,730 is: 115,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106 : 52,730 = 52,730 : x
  2. Step 2: Convert to fraction form
    24,106/52,730 = 52,730/x
  3. Step 3: Cross multiply
    24,106x = 52,730 × 52,730
  4. Step 4: Simplify right side
    24,106x = 2,780,452,900
  5. Step 5: Solve for x
    x = 2,780,452,900/24,106
  6. Step 6: Final answer
    x = 115,342.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.