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Finding the Third Proportional to 16,030 and 24,358

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Solution

The third proportional to 16,030 and 24,358 is: 37,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,030 : 24,358 = 24,358 : x
  2. Step 2: Convert to fraction form
    16,030/24,358 = 24,358/x
  3. Step 3: Cross multiply
    16,030x = 24,358 × 24,358
  4. Step 4: Simplify right side
    16,030x = 593,312,164
  5. Step 5: Solve for x
    x = 593,312,164/16,030
  6. Step 6: Final answer
    x = 37,012.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.