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Finding the Third Proportional to 42,408 and 62,437.50

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Solution

The third proportional to 42,408 and 62,437.50 is: 91,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408 : 62,437.50 = 62,437.50 : x
  2. Step 2: Convert to fraction form
    42,408/62,437.50 = 62,437.50/x
  3. Step 3: Cross multiply
    42,408x = 62,437.50 × 62,437.50
  4. Step 4: Simplify right side
    42,408x = 3,898,441,406.25
  5. Step 5: Solve for x
    x = 3,898,441,406.25/42,408
  6. Step 6: Final answer
    x = 91,927.03

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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.