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Finding the Third Proportional to 23,312 and 37,048

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Solution

The third proportional to 23,312 and 37,048 is: 58,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312 : 37,048 = 37,048 : x
  2. Step 2: Convert to fraction form
    23,312/37,048 = 37,048/x
  3. Step 3: Cross multiply
    23,312x = 37,048 × 37,048
  4. Step 4: Simplify right side
    23,312x = 1,372,554,304
  5. Step 5: Solve for x
    x = 1,372,554,304/23,312
  6. Step 6: Final answer
    x = 58,877.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.