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Finding the Third Proportional to 15,034 and 23,582

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Solution

The third proportional to 15,034 and 23,582 is: 36,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,034 : 23,582 = 23,582 : x
  2. Step 2: Convert to fraction form
    15,034/23,582 = 23,582/x
  3. Step 3: Cross multiply
    15,034x = 23,582 × 23,582
  4. Step 4: Simplify right side
    15,034x = 556,110,724
  5. Step 5: Solve for x
    x = 556,110,724/15,034
  6. Step 6: Final answer
    x = 36,990.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.