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Finding the Third Proportional to 45,966 and 63,298.50

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Solution

The third proportional to 45,966 and 63,298.50 is: 87,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,966 : 63,298.50 = 63,298.50 : x
  2. Step 2: Convert to fraction form
    45,966/63,298.50 = 63,298.50/x
  3. Step 3: Cross multiply
    45,966x = 63,298.50 × 63,298.50
  4. Step 4: Simplify right side
    45,966x = 4,006,700,102.25
  5. Step 5: Solve for x
    x = 4,006,700,102.25/45,966
  6. Step 6: Final answer
    x = 87,166.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.