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Finding the Third Proportional to 24,420 and 53,205

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Solution

The third proportional to 24,420 and 53,205 is: 115,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420 : 53,205 = 53,205 : x
  2. Step 2: Convert to fraction form
    24,420/53,205 = 53,205/x
  3. Step 3: Cross multiply
    24,420x = 53,205 × 53,205
  4. Step 4: Simplify right side
    24,420x = 2,830,772,025
  5. Step 5: Solve for x
    x = 2,830,772,025/24,420
  6. Step 6: Final answer
    x = 115,920.23

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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.