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Finding the Third Proportional to 19,412.63 and 29,088.94

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Solution

The third proportional to 19,412.63 and 29,088.94 is: 43,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.63 : 29,088.94 = 29,088.94 : x
  2. Step 2: Convert to fraction form
    19,412.63/29,088.94 = 29,088.94/x
  3. Step 3: Cross multiply
    19,412.63x = 29,088.94 × 29,088.94
  4. Step 4: Simplify right side
    19,412.63x = 846,166,284.88
  5. Step 5: Solve for x
    x = 846,166,284.88/19,412.63
  6. Step 6: Final answer
    x = 43,588.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.