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Finding the Third Proportional to 35,686.50 and 48,069.75

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Solution

The third proportional to 35,686.50 and 48,069.75 is: 64,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,686.50 : 48,069.75 = 48,069.75 : x
  2. Step 2: Convert to fraction form
    35,686.50/48,069.75 = 48,069.75/x
  3. Step 3: Cross multiply
    35,686.50x = 48,069.75 × 48,069.75
  4. Step 4: Simplify right side
    35,686.50x = 2,310,700,865.06
  5. Step 5: Solve for x
    x = 2,310,700,865.06/35,686.50
  6. Step 6: Final answer
    x = 64,750.00

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.