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Finding the Third Proportional to 32,820.19 and 46,443.38

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Solution

The third proportional to 32,820.19 and 46,443.38 is: 65,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,820.19 : 46,443.38 = 46,443.38 : x
  2. Step 2: Convert to fraction form
    32,820.19/46,443.38 = 46,443.38/x
  3. Step 3: Cross multiply
    32,820.19x = 46,443.38 × 46,443.38
  4. Step 4: Simplify right side
    32,820.19x = 2,156,987,081.39
  5. Step 5: Solve for x
    x = 2,156,987,081.39/32,820.19
  6. Step 6: Final answer
    x = 65,721.35

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.