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Finding the Third Proportional to 32,208.19 and 46,389.94

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Solution

The third proportional to 32,208.19 and 46,389.94 is: 66,816.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,208.19 : 46,389.94 = 46,389.94 : x
  2. Step 2: Convert to fraction form
    32,208.19/46,389.94 = 46,389.94/x
  3. Step 3: Cross multiply
    32,208.19x = 46,389.94 × 46,389.94
  4. Step 4: Simplify right side
    32,208.19x = 2,152,026,301.25
  5. Step 5: Solve for x
    x = 2,152,026,301.25/32,208.19
  6. Step 6: Final answer
    x = 66,816.13

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.