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Finding the Third Proportional to 44,534.81 and 65,341.69

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Solution

The third proportional to 44,534.81 and 65,341.69 is: 95,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,534.81 : 65,341.69 = 65,341.69 : x
  2. Step 2: Convert to fraction form
    44,534.81/65,341.69 = 65,341.69/x
  3. Step 3: Cross multiply
    44,534.81x = 65,341.69 × 65,341.69
  4. Step 4: Simplify right side
    44,534.81x = 4,269,536,125.35
  5. Step 5: Solve for x
    x = 4,269,536,125.35/44,534.81
  6. Step 6: Final answer
    x = 95,869.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.