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Finding the Third Proportional to 39,518.63 and 70,265.63

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Solution

The third proportional to 39,518.63 and 70,265.63 is: 124,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,518.63 : 70,265.63 = 70,265.63 : x
  2. Step 2: Convert to fraction form
    39,518.63/70,265.63 = 70,265.63/x
  3. Step 3: Cross multiply
    39,518.63x = 70,265.63 × 70,265.63
  4. Step 4: Simplify right side
    39,518.63x = 4,937,258,056.64
  5. Step 5: Solve for x
    x = 4,937,258,056.64/39,518.63
  6. Step 6: Final answer
    x = 124,934.97

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.