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Finding the Third Proportional to 21,424.50 and 47,432.25

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Solution

The third proportional to 21,424.50 and 47,432.25 is: 105,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.50 : 47,432.25 = 47,432.25 : x
  2. Step 2: Convert to fraction form
    21,424.50/47,432.25 = 47,432.25/x
  3. Step 3: Cross multiply
    21,424.50x = 47,432.25 × 47,432.25
  4. Step 4: Simplify right side
    21,424.50x = 2,249,818,340.06
  5. Step 5: Solve for x
    x = 2,249,818,340.06/21,424.50
  6. Step 6: Final answer
    x = 105,011.47

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.