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Finding the Third Proportional to 24,666 and 53,706

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Solution

The third proportional to 24,666 and 53,706 is: 116,935.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,666 : 53,706 = 53,706 : x
  2. Step 2: Convert to fraction form
    24,666/53,706 = 53,706/x
  3. Step 3: Cross multiply
    24,666x = 53,706 × 53,706
  4. Step 4: Simplify right side
    24,666x = 2,884,334,436
  5. Step 5: Solve for x
    x = 2,884,334,436/24,666
  6. Step 6: Final answer
    x = 116,935.64

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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.