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Finding the Third Proportional to 14,870.25 and 31,200.19

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Solution

The third proportional to 14,870.25 and 31,200.19 is: 65,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870.25 : 31,200.19 = 31,200.19 : x
  2. Step 2: Convert to fraction form
    14,870.25/31,200.19 = 31,200.19/x
  3. Step 3: Cross multiply
    14,870.25x = 31,200.19 × 31,200.19
  4. Step 4: Simplify right side
    14,870.25x = 973,451,700.04
  5. Step 5: Solve for x
    x = 973,451,700.04/14,870.25
  6. Step 6: Final answer
    x = 65,463.04

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.