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Finding the Third Proportional to 27,707.75 and 57,386.50

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Solution

The third proportional to 27,707.75 and 57,386.50 is: 118,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.75 : 57,386.50 = 57,386.50 : x
  2. Step 2: Convert to fraction form
    27,707.75/57,386.50 = 57,386.50/x
  3. Step 3: Cross multiply
    27,707.75x = 57,386.50 × 57,386.50
  4. Step 4: Simplify right side
    27,707.75x = 3,293,210,382.25
  5. Step 5: Solve for x
    x = 3,293,210,382.25/27,707.75
  6. Step 6: Final answer
    x = 118,855.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.