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Finding the Third Proportional to 9,594 and 12,803

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Solution

The third proportional to 9,594 and 12,803 is: 17,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594 : 12,803 = 12,803 : x
  2. Step 2: Convert to fraction form
    9,594/12,803 = 12,803/x
  3. Step 3: Cross multiply
    9,594x = 12,803 × 12,803
  4. Step 4: Simplify right side
    9,594x = 163,916,809
  5. Step 5: Solve for x
    x = 163,916,809/9,594
  6. Step 6: Final answer
    x = 17,085.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.