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Finding the Third Proportional to 24,822 and 53,148

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Solution

The third proportional to 24,822 and 53,148 is: 113,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822 : 53,148 = 53,148 : x
  2. Step 2: Convert to fraction form
    24,822/53,148 = 53,148/x
  3. Step 3: Cross multiply
    24,822x = 53,148 × 53,148
  4. Step 4: Simplify right side
    24,822x = 2,824,709,904
  5. Step 5: Solve for x
    x = 2,824,709,904/24,822
  6. Step 6: Final answer
    x = 113,798.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.