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Finding the Third Proportional to 31,528.41 and 46,080.14

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Solution

The third proportional to 31,528.41 and 46,080.14 is: 67,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,528.41 : 46,080.14 = 46,080.14 : x
  2. Step 2: Convert to fraction form
    31,528.41/46,080.14 = 46,080.14/x
  3. Step 3: Cross multiply
    31,528.41x = 46,080.14 × 46,080.14
  4. Step 4: Simplify right side
    31,528.41x = 2,123,379,360.02
  5. Step 5: Solve for x
    x = 2,123,379,360.02/31,528.41
  6. Step 6: Final answer
    x = 67,348.13

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Why These Related Problems?

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