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Finding the Third Proportional to 11,730 and 25,310

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Solution

The third proportional to 11,730 and 25,310 is: 54,611.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730 : 25,310 = 25,310 : x
  2. Step 2: Convert to fraction form
    11,730/25,310 = 25,310/x
  3. Step 3: Cross multiply
    11,730x = 25,310 × 25,310
  4. Step 4: Simplify right side
    11,730x = 640,596,100
  5. Step 5: Solve for x
    x = 640,596,100/11,730
  6. Step 6: Final answer
    x = 54,611.77

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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.