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Finding the Third Proportional to 25,282.13 and 47,045.81

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Solution

The third proportional to 25,282.13 and 47,045.81 is: 87,544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,282.13 : 47,045.81 = 47,045.81 : x
  2. Step 2: Convert to fraction form
    25,282.13/47,045.81 = 47,045.81/x
  3. Step 3: Cross multiply
    25,282.13x = 47,045.81 × 47,045.81
  4. Step 4: Simplify right side
    25,282.13x = 2,213,308,473.79
  5. Step 5: Solve for x
    x = 2,213,308,473.79/25,282.13
  6. Step 6: Final answer
    x = 87,544.40

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.