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Finding the Third Proportional to 42,984 and 65,748

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Solution

The third proportional to 42,984 and 65,748 is: 100,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,984 : 65,748 = 65,748 : x
  2. Step 2: Convert to fraction form
    42,984/65,748 = 65,748/x
  3. Step 3: Cross multiply
    42,984x = 65,748 × 65,748
  4. Step 4: Simplify right side
    42,984x = 4,322,799,504
  5. Step 5: Solve for x
    x = 4,322,799,504/42,984
  6. Step 6: Final answer
    x = 100,567.64

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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.