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Finding the Third Proportional to 35,722.13 and 56,515.50

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Solution

The third proportional to 35,722.13 and 56,515.50 is: 89,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,722.13 : 56,515.50 = 56,515.50 : x
  2. Step 2: Convert to fraction form
    35,722.13/56,515.50 = 56,515.50/x
  3. Step 3: Cross multiply
    35,722.13x = 56,515.50 × 56,515.50
  4. Step 4: Simplify right side
    35,722.13x = 3,194,001,740.25
  5. Step 5: Solve for x
    x = 3,194,001,740.25/35,722.13
  6. Step 6: Final answer
    x = 89,412.42

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.