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Finding the Third Proportional to 48,222 and 70,447.50

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Solution

The third proportional to 48,222 and 70,447.50 is: 102,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,222 : 70,447.50 = 70,447.50 : x
  2. Step 2: Convert to fraction form
    48,222/70,447.50 = 70,447.50/x
  3. Step 3: Cross multiply
    48,222x = 70,447.50 × 70,447.50
  4. Step 4: Simplify right side
    48,222x = 4,962,850,256.25
  5. Step 5: Solve for x
    x = 4,962,850,256.25/48,222
  6. Step 6: Final answer
    x = 102,916.72

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.