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Finding the Third Proportional to 6,071.63 and 7,301.81

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Solution

The third proportional to 6,071.63 and 7,301.81 is: 8,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.63 : 7,301.81 = 7,301.81 : x
  2. Step 2: Convert to fraction form
    6,071.63/7,301.81 = 7,301.81/x
  3. Step 3: Cross multiply
    6,071.63x = 7,301.81 × 7,301.81
  4. Step 4: Simplify right side
    6,071.63x = 53,316,465.79
  5. Step 5: Solve for x
    x = 53,316,465.79/6,071.63
  6. Step 6: Final answer
    x = 8,781.25

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.