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Finding the Third Proportional to 51,033 and 72,580.50

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Solution

The third proportional to 51,033 and 72,580.50 is: 103,225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,033 : 72,580.50 = 72,580.50 : x
  2. Step 2: Convert to fraction form
    51,033/72,580.50 = 72,580.50/x
  3. Step 3: Cross multiply
    51,033x = 72,580.50 × 72,580.50
  4. Step 4: Simplify right side
    51,033x = 5,267,928,980.25
  5. Step 5: Solve for x
    x = 5,267,928,980.25/51,033
  6. Step 6: Final answer
    x = 103,225.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.