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Finding the Third Proportional to 12,938.64 and 19,707.05

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Solution

The third proportional to 12,938.64 and 19,707.05 is: 30,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.64 : 19,707.05 = 19,707.05 : x
  2. Step 2: Convert to fraction form
    12,938.64/19,707.05 = 19,707.05/x
  3. Step 3: Cross multiply
    12,938.64x = 19,707.05 × 19,707.05
  4. Step 4: Simplify right side
    12,938.64x = 388,367,696.53
  5. Step 5: Solve for x
    x = 388,367,696.53/12,938.64
  6. Step 6: Final answer
    x = 30,016.11

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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.