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Finding the Third Proportional to 24,020 and 52,808

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Solution

The third proportional to 24,020 and 52,808 is: 116,098.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020 : 52,808 = 52,808 : x
  2. Step 2: Convert to fraction form
    24,020/52,808 = 52,808/x
  3. Step 3: Cross multiply
    24,020x = 52,808 × 52,808
  4. Step 4: Simplify right side
    24,020x = 2,788,684,864
  5. Step 5: Solve for x
    x = 2,788,684,864/24,020
  6. Step 6: Final answer
    x = 116,098.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.