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Finding the Third Proportional to 31,438.13 and 46,730.04

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Solution

The third proportional to 31,438.13 and 46,730.04 is: 69,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,438.13 : 46,730.04 = 46,730.04 : x
  2. Step 2: Convert to fraction form
    31,438.13/46,730.04 = 46,730.04/x
  3. Step 3: Cross multiply
    31,438.13x = 46,730.04 × 46,730.04
  4. Step 4: Simplify right side
    31,438.13x = 2,183,696,550.78
  5. Step 5: Solve for x
    x = 2,183,696,550.78/31,438.13
  6. Step 6: Final answer
    x = 69,460.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.