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Finding the Third Proportional to 31,303.13 and 64,788.75

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Solution

The third proportional to 31,303.13 and 64,788.75 is: 134,094.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303.13 : 64,788.75 = 64,788.75 : x
  2. Step 2: Convert to fraction form
    31,303.13/64,788.75 = 64,788.75/x
  3. Step 3: Cross multiply
    31,303.13x = 64,788.75 × 64,788.75
  4. Step 4: Simplify right side
    31,303.13x = 4,197,582,126.56
  5. Step 5: Solve for x
    x = 4,197,582,126.56/31,303.13
  6. Step 6: Final answer
    x = 134,094.67

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.