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Finding the Third Proportional to 22,429.50 and 47,182.88

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Solution

The third proportional to 22,429.50 and 47,182.88 is: 99,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.50 : 47,182.88 = 47,182.88 : x
  2. Step 2: Convert to fraction form
    22,429.50/47,182.88 = 47,182.88/x
  3. Step 3: Cross multiply
    22,429.50x = 47,182.88 × 47,182.88
  4. Step 4: Simplify right side
    22,429.50x = 2,226,223,693.27
  5. Step 5: Solve for x
    x = 2,226,223,693.27/22,429.50
  6. Step 6: Final answer
    x = 99,254.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.