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Finding the Third Proportional to 32,901.75 and 51,038.25

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Solution

The third proportional to 32,901.75 and 51,038.25 is: 79,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.75 : 51,038.25 = 51,038.25 : x
  2. Step 2: Convert to fraction form
    32,901.75/51,038.25 = 51,038.25/x
  3. Step 3: Cross multiply
    32,901.75x = 51,038.25 × 51,038.25
  4. Step 4: Simplify right side
    32,901.75x = 2,604,902,963.06
  5. Step 5: Solve for x
    x = 2,604,902,963.06/32,901.75
  6. Step 6: Final answer
    x = 79,172.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.