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Finding the Third Proportional to 8,307.75 and 12,341.63

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Solution

The third proportional to 8,307.75 and 12,341.63 is: 18,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.75 : 12,341.63 = 12,341.63 : x
  2. Step 2: Convert to fraction form
    8,307.75/12,341.63 = 12,341.63/x
  3. Step 3: Cross multiply
    8,307.75x = 12,341.63 × 12,341.63
  4. Step 4: Simplify right side
    8,307.75x = 152,315,707.64
  5. Step 5: Solve for x
    x = 152,315,707.64/8,307.75
  6. Step 6: Final answer
    x = 18,334.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.