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Finding the Third Proportional to 42,772 and 63,318

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Solution

The third proportional to 42,772 and 63,318 is: 93,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,772 : 63,318 = 63,318 : x
  2. Step 2: Convert to fraction form
    42,772/63,318 = 63,318/x
  3. Step 3: Cross multiply
    42,772x = 63,318 × 63,318
  4. Step 4: Simplify right side
    42,772x = 4,009,169,124
  5. Step 5: Solve for x
    x = 4,009,169,124/42,772
  6. Step 6: Final answer
    x = 93,733.50

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.