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Finding the Third Proportional to 19,814.63 and 43,304.06

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Solution

The third proportional to 19,814.63 and 43,304.06 is: 94,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.63 : 43,304.06 = 43,304.06 : x
  2. Step 2: Convert to fraction form
    19,814.63/43,304.06 = 43,304.06/x
  3. Step 3: Cross multiply
    19,814.63x = 43,304.06 × 43,304.06
  4. Step 4: Simplify right side
    19,814.63x = 1,875,241,829.00
  5. Step 5: Solve for x
    x = 1,875,241,829.00/19,814.63
  6. Step 6: Final answer
    x = 94,639.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.