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Finding the Third Proportional to 45,265.50 and 59,143.50

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Solution

The third proportional to 45,265.50 and 59,143.50 is: 77,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,265.50 : 59,143.50 = 59,143.50 : x
  2. Step 2: Convert to fraction form
    45,265.50/59,143.50 = 59,143.50/x
  3. Step 3: Cross multiply
    45,265.50x = 59,143.50 × 59,143.50
  4. Step 4: Simplify right side
    45,265.50x = 3,497,953,592.25
  5. Step 5: Solve for x
    x = 3,497,953,592.25/45,265.50
  6. Step 6: Final answer
    x = 77,276.37

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.