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Finding the Third Proportional to 42,907 and 65,637.50

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Solution

The third proportional to 42,907 and 65,637.50 is: 100,409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,907 : 65,637.50 = 65,637.50 : x
  2. Step 2: Convert to fraction form
    42,907/65,637.50 = 65,637.50/x
  3. Step 3: Cross multiply
    42,907x = 65,637.50 × 65,637.50
  4. Step 4: Simplify right side
    42,907x = 4,308,281,406.25
  5. Step 5: Solve for x
    x = 4,308,281,406.25/42,907
  6. Step 6: Final answer
    x = 100,409.76

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.