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Finding the Third Proportional to 22,039.31 and 32,135.91

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Solution

The third proportional to 22,039.31 and 32,135.91 is: 46,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039.31 : 32,135.91 = 32,135.91 : x
  2. Step 2: Convert to fraction form
    22,039.31/32,135.91 = 32,135.91/x
  3. Step 3: Cross multiply
    22,039.31x = 32,135.91 × 32,135.91
  4. Step 4: Simplify right side
    22,039.31x = 1,032,716,470.51
  5. Step 5: Solve for x
    x = 1,032,716,470.51/22,039.31
  6. Step 6: Final answer
    x = 46,857.93

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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.