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Finding the Third Proportional to 45,886.50 and 64,616.06

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Solution

The third proportional to 45,886.50 and 64,616.06 is: 90,990.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,886.50 : 64,616.06 = 64,616.06 : x
  2. Step 2: Convert to fraction form
    45,886.50/64,616.06 = 64,616.06/x
  3. Step 3: Cross multiply
    45,886.50x = 64,616.06 × 64,616.06
  4. Step 4: Simplify right side
    45,886.50x = 4,175,235,533.00
  5. Step 5: Solve for x
    x = 4,175,235,533.00/45,886.50
  6. Step 6: Final answer
    x = 90,990.50

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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.