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Finding the Third Proportional to 19,433.81 and 29,714.06

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Solution

The third proportional to 19,433.81 and 29,714.06 is: 45,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,433.81 : 29,714.06 = 29,714.06 : x
  2. Step 2: Convert to fraction form
    19,433.81/29,714.06 = 29,714.06/x
  3. Step 3: Cross multiply
    19,433.81x = 29,714.06 × 29,714.06
  4. Step 4: Simplify right side
    19,433.81x = 882,925,510.25
  5. Step 5: Solve for x
    x = 882,925,510.25/19,433.81
  6. Step 6: Final answer
    x = 45,432.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.