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Finding the Third Proportional to 43,688 and 65,894

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Solution

The third proportional to 43,688 and 65,894 is: 99,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,688 : 65,894 = 65,894 : x
  2. Step 2: Convert to fraction form
    43,688/65,894 = 65,894/x
  3. Step 3: Cross multiply
    43,688x = 65,894 × 65,894
  4. Step 4: Simplify right side
    43,688x = 4,342,019,236
  5. Step 5: Solve for x
    x = 4,342,019,236/43,688
  6. Step 6: Final answer
    x = 99,387.00

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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.