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Finding the Third Proportional to 1,115.63 and 1,656.19

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Solution

The third proportional to 1,115.63 and 1,656.19 is: 2,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.63 : 1,656.19 = 1,656.19 : x
  2. Step 2: Convert to fraction form
    1,115.63/1,656.19 = 1,656.19/x
  3. Step 3: Cross multiply
    1,115.63x = 1,656.19 × 1,656.19
  4. Step 4: Simplify right side
    1,115.63x = 2,742,957.04
  5. Step 5: Solve for x
    x = 2,742,957.04/1,115.63
  6. Step 6: Final answer
    x = 2,458.67

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.