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Finding the Third Proportional to 7,051.22 and 15,264.28

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Solution

The third proportional to 7,051.22 and 15,264.28 is: 33,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.22 : 15,264.28 = 15,264.28 : x
  2. Step 2: Convert to fraction form
    7,051.22/15,264.28 = 15,264.28/x
  3. Step 3: Cross multiply
    7,051.22x = 15,264.28 × 15,264.28
  4. Step 4: Simplify right side
    7,051.22x = 232,998,282.08
  5. Step 5: Solve for x
    x = 232,998,282.08/7,051.22
  6. Step 6: Final answer
    x = 33,043.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.