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Finding the Third Proportional to 9,030.75 and 12,302.63

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Solution

The third proportional to 9,030.75 and 12,302.63 is: 16,759.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.75 : 12,302.63 = 12,302.63 : x
  2. Step 2: Convert to fraction form
    9,030.75/12,302.63 = 12,302.63/x
  3. Step 3: Cross multiply
    9,030.75x = 12,302.63 × 12,302.63
  4. Step 4: Simplify right side
    9,030.75x = 151,354,581.89
  5. Step 5: Solve for x
    x = 151,354,581.89/9,030.75
  6. Step 6: Final answer
    x = 16,759.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.