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Finding the Third Proportional to 13,301.40 and 28,678.75

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Solution

The third proportional to 13,301.40 and 28,678.75 is: 61,833.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,301.40 : 28,678.75 = 28,678.75 : x
  2. Step 2: Convert to fraction form
    13,301.40/28,678.75 = 28,678.75/x
  3. Step 3: Cross multiply
    13,301.40x = 28,678.75 × 28,678.75
  4. Step 4: Simplify right side
    13,301.40x = 822,470,477.51
  5. Step 5: Solve for x
    x = 822,470,477.51/13,301.40
  6. Step 6: Final answer
    x = 61,833.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.