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Finding the Third Proportional to 43,688 and 65,948

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Solution

The third proportional to 43,688 and 65,948 is: 99,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,688 : 65,948 = 65,948 : x
  2. Step 2: Convert to fraction form
    43,688/65,948 = 65,948/x
  3. Step 3: Cross multiply
    43,688x = 65,948 × 65,948
  4. Step 4: Simplify right side
    43,688x = 4,349,138,704
  5. Step 5: Solve for x
    x = 4,349,138,704/43,688
  6. Step 6: Final answer
    x = 99,549.96

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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.