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Finding the Third Proportional to 42,453 and 59,386.50

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Solution

The third proportional to 42,453 and 59,386.50 is: 83,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,453 : 59,386.50 = 59,386.50 : x
  2. Step 2: Convert to fraction form
    42,453/59,386.50 = 59,386.50/x
  3. Step 3: Cross multiply
    42,453x = 59,386.50 × 59,386.50
  4. Step 4: Simplify right side
    42,453x = 3,526,756,382.25
  5. Step 5: Solve for x
    x = 3,526,756,382.25/42,453
  6. Step 6: Final answer
    x = 83,074.37

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.