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Finding the Third Proportional to 13,780.13 and 17,875.69

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Solution

The third proportional to 13,780.13 and 17,875.69 is: 23,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.13 : 17,875.69 = 17,875.69 : x
  2. Step 2: Convert to fraction form
    13,780.13/17,875.69 = 17,875.69/x
  3. Step 3: Cross multiply
    13,780.13x = 17,875.69 × 17,875.69
  4. Step 4: Simplify right side
    13,780.13x = 319,540,203.60
  5. Step 5: Solve for x
    x = 319,540,203.60/13,780.13
  6. Step 6: Final answer
    x = 23,188.48

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.