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Finding the Third Proportional to 10,590 and 15,833.63

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Solution

The third proportional to 10,590 and 15,833.63 is: 23,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590 : 15,833.63 = 15,833.63 : x
  2. Step 2: Convert to fraction form
    10,590/15,833.63 = 15,833.63/x
  3. Step 3: Cross multiply
    10,590x = 15,833.63 × 15,833.63
  4. Step 4: Simplify right side
    10,590x = 250,703,680.64
  5. Step 5: Solve for x
    x = 250,703,680.64/10,590
  6. Step 6: Final answer
    x = 23,673.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.