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Finding the Third Proportional to 21,142.69 and 46,470.38

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Solution

The third proportional to 21,142.69 and 46,470.38 is: 102,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,142.69 : 46,470.38 = 46,470.38 : x
  2. Step 2: Convert to fraction form
    21,142.69/46,470.38 = 46,470.38/x
  3. Step 3: Cross multiply
    21,142.69x = 46,470.38 × 46,470.38
  4. Step 4: Simplify right side
    21,142.69x = 2,159,495,752.64
  5. Step 5: Solve for x
    x = 2,159,495,752.64/21,142.69
  6. Step 6: Final answer
    x = 102,139.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.