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Finding the Third Proportional to 42,392.81 and 65,611.69

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Solution

The third proportional to 42,392.81 and 65,611.69 is: 101,547.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,392.81 : 65,611.69 = 65,611.69 : x
  2. Step 2: Convert to fraction form
    42,392.81/65,611.69 = 65,611.69/x
  3. Step 3: Cross multiply
    42,392.81x = 65,611.69 × 65,611.69
  4. Step 4: Simplify right side
    42,392.81x = 4,304,893,536.60
  5. Step 5: Solve for x
    x = 4,304,893,536.60/42,392.81
  6. Step 6: Final answer
    x = 101,547.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.