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Finding the Third Proportional to 12,547.88 and 27,282.75

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Solution

The third proportional to 12,547.88 and 27,282.75 is: 59,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.88 : 27,282.75 = 27,282.75 : x
  2. Step 2: Convert to fraction form
    12,547.88/27,282.75 = 27,282.75/x
  3. Step 3: Cross multiply
    12,547.88x = 27,282.75 × 27,282.75
  4. Step 4: Simplify right side
    12,547.88x = 744,348,447.56
  5. Step 5: Solve for x
    x = 744,348,447.56/12,547.88
  6. Step 6: Final answer
    x = 59,320.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.