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Finding the Third Proportional to 1,232.51 and 1,656.07

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Solution

The third proportional to 1,232.51 and 1,656.07 is: 2,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.51 : 1,656.07 = 1,656.07 : x
  2. Step 2: Convert to fraction form
    1,232.51/1,656.07 = 1,656.07/x
  3. Step 3: Cross multiply
    1,232.51x = 1,656.07 × 1,656.07
  4. Step 4: Simplify right side
    1,232.51x = 2,742,568.88
  5. Step 5: Solve for x
    x = 2,742,568.88/1,232.51
  6. Step 6: Final answer
    x = 2,225.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.