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Finding the Third Proportional to 24,106.50 and 37,476

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Solution

The third proportional to 24,106.50 and 37,476 is: 58,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.50 : 37,476 = 37,476 : x
  2. Step 2: Convert to fraction form
    24,106.50/37,476 = 37,476/x
  3. Step 3: Cross multiply
    24,106.50x = 37,476 × 37,476
  4. Step 4: Simplify right side
    24,106.50x = 1,404,450,576
  5. Step 5: Solve for x
    x = 1,404,450,576/24,106.50
  6. Step 6: Final answer
    x = 58,260.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.