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Finding the Third Proportional to 12,030.19 and 28,981.69

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Solution

The third proportional to 12,030.19 and 28,981.69 is: 69,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.19 : 28,981.69 = 28,981.69 : x
  2. Step 2: Convert to fraction form
    12,030.19/28,981.69 = 28,981.69/x
  3. Step 3: Cross multiply
    12,030.19x = 28,981.69 × 28,981.69
  4. Step 4: Simplify right side
    12,030.19x = 839,938,210.35
  5. Step 5: Solve for x
    x = 839,938,210.35/12,030.19
  6. Step 6: Final answer
    x = 69,819.21

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.