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Finding the Third Proportional to 44,985 and 64,081.50

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Solution

The third proportional to 44,985 and 64,081.50 is: 91,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,985 : 64,081.50 = 64,081.50 : x
  2. Step 2: Convert to fraction form
    44,985/64,081.50 = 64,081.50/x
  3. Step 3: Cross multiply
    44,985x = 64,081.50 × 64,081.50
  4. Step 4: Simplify right side
    44,985x = 4,106,438,642.25
  5. Step 5: Solve for x
    x = 4,106,438,642.25/44,985
  6. Step 6: Final answer
    x = 91,284.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.