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Finding the Third Proportional to 45,597 and 64,687.50

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Solution

The third proportional to 45,597 and 64,687.50 is: 91,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,597 : 64,687.50 = 64,687.50 : x
  2. Step 2: Convert to fraction form
    45,597/64,687.50 = 64,687.50/x
  3. Step 3: Cross multiply
    45,597x = 64,687.50 × 64,687.50
  4. Step 4: Simplify right side
    45,597x = 4,184,472,656.25
  5. Step 5: Solve for x
    x = 4,184,472,656.25/45,597
  6. Step 6: Final answer
    x = 91,770.79

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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.