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Finding the Third Proportional to 23,915.25 and 37,239.75

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Solution

The third proportional to 23,915.25 and 37,239.75 is: 57,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,915.25 : 37,239.75 = 37,239.75 : x
  2. Step 2: Convert to fraction form
    23,915.25/37,239.75 = 37,239.75/x
  3. Step 3: Cross multiply
    23,915.25x = 37,239.75 × 37,239.75
  4. Step 4: Simplify right side
    23,915.25x = 1,386,798,980.06
  5. Step 5: Solve for x
    x = 1,386,798,980.06/23,915.25
  6. Step 6: Final answer
    x = 57,988.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.