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Finding the Third Proportional to 15,720 and 24,127

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Solution

The third proportional to 15,720 and 24,127 is: 37,030.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720 : 24,127 = 24,127 : x
  2. Step 2: Convert to fraction form
    15,720/24,127 = 24,127/x
  3. Step 3: Cross multiply
    15,720x = 24,127 × 24,127
  4. Step 4: Simplify right side
    15,720x = 582,112,129
  5. Step 5: Solve for x
    x = 582,112,129/15,720
  6. Step 6: Final answer
    x = 37,030.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.