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Finding the Third Proportional to 12,362.63 and 19,646.30

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Solution

The third proportional to 12,362.63 and 19,646.30 is: 31,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,362.63 : 19,646.30 = 19,646.30 : x
  2. Step 2: Convert to fraction form
    12,362.63/19,646.30 = 19,646.30/x
  3. Step 3: Cross multiply
    12,362.63x = 19,646.30 × 19,646.30
  4. Step 4: Simplify right side
    12,362.63x = 385,976,980.90
  5. Step 5: Solve for x
    x = 385,976,980.90/12,362.63
  6. Step 6: Final answer
    x = 31,221.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.