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Finding the Third Proportional to 42,411 and 62,320.50

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Solution

The third proportional to 42,411 and 62,320.50 is: 91,576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,411 : 62,320.50 = 62,320.50 : x
  2. Step 2: Convert to fraction form
    42,411/62,320.50 = 62,320.50/x
  3. Step 3: Cross multiply
    42,411x = 62,320.50 × 62,320.50
  4. Step 4: Simplify right side
    42,411x = 3,883,844,720.25
  5. Step 5: Solve for x
    x = 3,883,844,720.25/42,411
  6. Step 6: Final answer
    x = 91,576.35

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.