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Finding the Third Proportional to 47,000.81 and 72,812.81

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Solution

The third proportional to 47,000.81 and 72,812.81 is: 112,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.81 : 72,812.81 = 72,812.81 : x
  2. Step 2: Convert to fraction form
    47,000.81/72,812.81 = 72,812.81/x
  3. Step 3: Cross multiply
    47,000.81x = 72,812.81 × 72,812.81
  4. Step 4: Simplify right side
    47,000.81x = 5,301,705,664.16
  5. Step 5: Solve for x
    x = 5,301,705,664.16/47,000.81
  6. Step 6: Final answer
    x = 112,800.30

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Why These Related Problems?

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