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Finding the Third Proportional to 19,407.09 and 41,785.88

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Solution

The third proportional to 19,407.09 and 41,785.88 is: 89,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407.09 : 41,785.88 = 41,785.88 : x
  2. Step 2: Convert to fraction form
    19,407.09/41,785.88 = 41,785.88/x
  3. Step 3: Cross multiply
    19,407.09x = 41,785.88 × 41,785.88
  4. Step 4: Simplify right side
    19,407.09x = 1,746,059,349.52
  5. Step 5: Solve for x
    x = 1,746,059,349.52/19,407.09
  6. Step 6: Final answer
    x = 89,970.16

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.