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Finding the Third Proportional to 31,443.61 and 46,737.63

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Solution

The third proportional to 31,443.61 and 46,737.63 is: 69,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.61 : 46,737.63 = 46,737.63 : x
  2. Step 2: Convert to fraction form
    31,443.61/46,737.63 = 46,737.63/x
  3. Step 3: Cross multiply
    31,443.61x = 46,737.63 × 46,737.63
  4. Step 4: Simplify right side
    31,443.61x = 2,184,406,320.92
  5. Step 5: Solve for x
    x = 2,184,406,320.92/31,443.61
  6. Step 6: Final answer
    x = 69,470.60

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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.