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Finding the Third Proportional to 42,924.94 and 65,663.16

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Solution

The third proportional to 42,924.94 and 65,663.16 is: 100,446.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,924.94 : 65,663.16 = 65,663.16 : x
  2. Step 2: Convert to fraction form
    42,924.94/65,663.16 = 65,663.16/x
  3. Step 3: Cross multiply
    42,924.94x = 65,663.16 × 65,663.16
  4. Step 4: Simplify right side
    42,924.94x = 4,311,650,088.71
  5. Step 5: Solve for x
    x = 4,311,650,088.71/42,924.94
  6. Step 6: Final answer
    x = 100,446.28

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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.