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Finding the Third Proportional to 8,580 and 13,448.25

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Solution

The third proportional to 8,580 and 13,448.25 is: 21,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580 : 13,448.25 = 13,448.25 : x
  2. Step 2: Convert to fraction form
    8,580/13,448.25 = 13,448.25/x
  3. Step 3: Cross multiply
    8,580x = 13,448.25 × 13,448.25
  4. Step 4: Simplify right side
    8,580x = 180,855,428.06
  5. Step 5: Solve for x
    x = 180,855,428.06/8,580
  6. Step 6: Final answer
    x = 21,078.72

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.