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Finding the Third Proportional to 55,821.75 and 75,802.13

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Solution

The third proportional to 55,821.75 and 75,802.13 is: 102,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,821.75 : 75,802.13 = 75,802.13 : x
  2. Step 2: Convert to fraction form
    55,821.75/75,802.13 = 75,802.13/x
  3. Step 3: Cross multiply
    55,821.75x = 75,802.13 × 75,802.13
  4. Step 4: Simplify right side
    55,821.75x = 5,745,962,154.52
  5. Step 5: Solve for x
    x = 5,745,962,154.52/55,821.75
  6. Step 6: Final answer
    x = 102,934.11

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.