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Finding the Third Proportional to 15,610 and 24,064

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Solution

The third proportional to 15,610 and 24,064 is: 37,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,610 : 24,064 = 24,064 : x
  2. Step 2: Convert to fraction form
    15,610/24,064 = 24,064/x
  3. Step 3: Cross multiply
    15,610x = 24,064 × 24,064
  4. Step 4: Simplify right side
    15,610x = 579,076,096
  5. Step 5: Solve for x
    x = 579,076,096/15,610
  6. Step 6: Final answer
    x = 37,096.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.