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Finding the Third Proportional to 19,814.63 and 28,851.19

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Solution

The third proportional to 19,814.63 and 28,851.19 is: 42,008.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.63 : 28,851.19 = 28,851.19 : x
  2. Step 2: Convert to fraction form
    19,814.63/28,851.19 = 28,851.19/x
  3. Step 3: Cross multiply
    19,814.63x = 28,851.19 × 28,851.19
  4. Step 4: Simplify right side
    19,814.63x = 832,391,020.16
  5. Step 5: Solve for x
    x = 832,391,020.16/19,814.63
  6. Step 6: Final answer
    x = 42,008.92

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.