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Finding the Third Proportional to 12,862.69 and 28,032.19

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Solution

The third proportional to 12,862.69 and 28,032.19 is: 61,091.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.69 : 28,032.19 = 28,032.19 : x
  2. Step 2: Convert to fraction form
    12,862.69/28,032.19 = 28,032.19/x
  3. Step 3: Cross multiply
    12,862.69x = 28,032.19 × 28,032.19
  4. Step 4: Simplify right side
    12,862.69x = 785,803,536.04
  5. Step 5: Solve for x
    x = 785,803,536.04/12,862.69
  6. Step 6: Final answer
    x = 61,091.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.