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Finding the Third Proportional to 11,522 and 25,130

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Solution

The third proportional to 11,522 and 25,130 is: 54,809.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522 : 25,130 = 25,130 : x
  2. Step 2: Convert to fraction form
    11,522/25,130 = 25,130/x
  3. Step 3: Cross multiply
    11,522x = 25,130 × 25,130
  4. Step 4: Simplify right side
    11,522x = 631,516,900
  5. Step 5: Solve for x
    x = 631,516,900/11,522
  6. Step 6: Final answer
    x = 54,809.66

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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.