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Finding the Third Proportional to 45,800.50 and 72,856.50

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Solution

The third proportional to 45,800.50 and 72,856.50 is: 115,895.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,800.50 : 72,856.50 = 72,856.50 : x
  2. Step 2: Convert to fraction form
    45,800.50/72,856.50 = 72,856.50/x
  3. Step 3: Cross multiply
    45,800.50x = 72,856.50 × 72,856.50
  4. Step 4: Simplify right side
    45,800.50x = 5,308,069,592.25
  5. Step 5: Solve for x
    x = 5,308,069,592.25/45,800.50
  6. Step 6: Final answer
    x = 115,895.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.