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Finding the Third Proportional to 45,890 and 64,624.50

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Solution

The third proportional to 45,890 and 64,624.50 is: 91,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,890 : 64,624.50 = 64,624.50 : x
  2. Step 2: Convert to fraction form
    45,890/64,624.50 = 64,624.50/x
  3. Step 3: Cross multiply
    45,890x = 64,624.50 × 64,624.50
  4. Step 4: Simplify right side
    45,890x = 4,176,326,000.25
  5. Step 5: Solve for x
    x = 4,176,326,000.25/45,890
  6. Step 6: Final answer
    x = 91,007.32

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.