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Finding the Third Proportional to 24,701 and 53,290

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Solution

The third proportional to 24,701 and 53,290 is: 114,967.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,701 : 53,290 = 53,290 : x
  2. Step 2: Convert to fraction form
    24,701/53,290 = 53,290/x
  3. Step 3: Cross multiply
    24,701x = 53,290 × 53,290
  4. Step 4: Simplify right side
    24,701x = 2,839,824,100
  5. Step 5: Solve for x
    x = 2,839,824,100/24,701
  6. Step 6: Final answer
    x = 114,967.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.