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Finding the Third Proportional to 42,805 and 56,797.50

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Solution

The third proportional to 42,805 and 56,797.50 is: 75,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,805 : 56,797.50 = 56,797.50 : x
  2. Step 2: Convert to fraction form
    42,805/56,797.50 = 56,797.50/x
  3. Step 3: Cross multiply
    42,805x = 56,797.50 × 56,797.50
  4. Step 4: Simplify right side
    42,805x = 3,225,956,006.25
  5. Step 5: Solve for x
    x = 3,225,956,006.25/42,805
  6. Step 6: Final answer
    x = 75,364.00

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.