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Finding the Third Proportional to 19,328.63 and 31,934.25

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Solution

The third proportional to 19,328.63 and 31,934.25 is: 52,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,328.63 : 31,934.25 = 31,934.25 : x
  2. Step 2: Convert to fraction form
    19,328.63/31,934.25 = 31,934.25/x
  3. Step 3: Cross multiply
    19,328.63x = 31,934.25 × 31,934.25
  4. Step 4: Simplify right side
    19,328.63x = 1,019,796,323.06
  5. Step 5: Solve for x
    x = 1,019,796,323.06/19,328.63
  6. Step 6: Final answer
    x = 52,760.93

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.