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Finding the Third Proportional to 11,580 and 22,582

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Solution

The third proportional to 11,580 and 22,582 is: 44,036.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 22,582 = 22,582 : x
  2. Step 2: Convert to fraction form
    11,580/22,582 = 22,582/x
  3. Step 3: Cross multiply
    11,580x = 22,582 × 22,582
  4. Step 4: Simplify right side
    11,580x = 509,946,724
  5. Step 5: Solve for x
    x = 509,946,724/11,580
  6. Step 6: Final answer
    x = 44,036.85

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.