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Finding the Third Proportional to 22,852.13 and 32,045.63

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Solution

The third proportional to 22,852.13 and 32,045.63 is: 44,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.13 : 32,045.63 = 32,045.63 : x
  2. Step 2: Convert to fraction form
    22,852.13/32,045.63 = 32,045.63/x
  3. Step 3: Cross multiply
    22,852.13x = 32,045.63 × 32,045.63
  4. Step 4: Simplify right side
    22,852.13x = 1,026,922,081.64
  5. Step 5: Solve for x
    x = 1,026,922,081.64/22,852.13
  6. Step 6: Final answer
    x = 44,937.71

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.