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Finding the Third Proportional to 24,570 and 52,996

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Solution

The third proportional to 24,570 and 52,996 is: 114,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,570 : 52,996 = 52,996 : x
  2. Step 2: Convert to fraction form
    24,570/52,996 = 52,996/x
  3. Step 3: Cross multiply
    24,570x = 52,996 × 52,996
  4. Step 4: Simplify right side
    24,570x = 2,808,576,016
  5. Step 5: Solve for x
    x = 2,808,576,016/24,570
  6. Step 6: Final answer
    x = 114,309.16

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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.