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Finding the Third Proportional to 14,767.31 and 23,381.16

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Solution

The third proportional to 14,767.31 and 23,381.16 is: 37,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,767.31 : 23,381.16 = 23,381.16 : x
  2. Step 2: Convert to fraction form
    14,767.31/23,381.16 = 23,381.16/x
  3. Step 3: Cross multiply
    14,767.31x = 23,381.16 × 23,381.16
  4. Step 4: Simplify right side
    14,767.31x = 546,678,467.59
  5. Step 5: Solve for x
    x = 546,678,467.59/14,767.31
  6. Step 6: Final answer
    x = 37,019.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.