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Finding the Third Proportional to 42,962 and 64,707

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Solution

The third proportional to 42,962 and 64,707 is: 97,458.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,962 : 64,707 = 64,707 : x
  2. Step 2: Convert to fraction form
    42,962/64,707 = 64,707/x
  3. Step 3: Cross multiply
    42,962x = 64,707 × 64,707
  4. Step 4: Simplify right side
    42,962x = 4,186,995,849
  5. Step 5: Solve for x
    x = 4,186,995,849/42,962
  6. Step 6: Final answer
    x = 97,458.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.