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Finding the Third Proportional to 24,802 and 53,308

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Solution

The third proportional to 24,802 and 53,308 is: 114,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802 : 53,308 = 53,308 : x
  2. Step 2: Convert to fraction form
    24,802/53,308 = 53,308/x
  3. Step 3: Cross multiply
    24,802x = 53,308 × 53,308
  4. Step 4: Simplify right side
    24,802x = 2,841,742,864
  5. Step 5: Solve for x
    x = 2,841,742,864/24,802
  6. Step 6: Final answer
    x = 114,577.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.