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Finding the Third Proportional to 13,587.75 and 18,284.06

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Solution

The third proportional to 13,587.75 and 18,284.06 is: 24,603.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,587.75 : 18,284.06 = 18,284.06 : x
  2. Step 2: Convert to fraction form
    13,587.75/18,284.06 = 18,284.06/x
  3. Step 3: Cross multiply
    13,587.75x = 18,284.06 × 18,284.06
  4. Step 4: Simplify right side
    13,587.75x = 334,306,941.50
  5. Step 5: Solve for x
    x = 334,306,941.50/13,587.75
  6. Step 6: Final answer
    x = 24,603.55

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.