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Finding the Third Proportional to 5,386.25 and 11,260.50

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Solution

The third proportional to 5,386.25 and 11,260.50 is: 23,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.25 : 11,260.50 = 11,260.50 : x
  2. Step 2: Convert to fraction form
    5,386.25/11,260.50 = 11,260.50/x
  3. Step 3: Cross multiply
    5,386.25x = 11,260.50 × 11,260.50
  4. Step 4: Simplify right side
    5,386.25x = 126,798,860.25
  5. Step 5: Solve for x
    x = 126,798,860.25/5,386.25
  6. Step 6: Final answer
    x = 23,541.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.