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Finding the Third Proportional to 14,017.50 and 21,319.50

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Solution

The third proportional to 14,017.50 and 21,319.50 is: 32,425.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.50 : 21,319.50 = 21,319.50 : x
  2. Step 2: Convert to fraction form
    14,017.50/21,319.50 = 21,319.50/x
  3. Step 3: Cross multiply
    14,017.50x = 21,319.50 × 21,319.50
  4. Step 4: Simplify right side
    14,017.50x = 454,521,080.25
  5. Step 5: Solve for x
    x = 454,521,080.25/14,017.50
  6. Step 6: Final answer
    x = 32,425.26

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.