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Finding the Third Proportional to 7,540.88 and 16,295.63

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Solution

The third proportional to 7,540.88 and 16,295.63 is: 35,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.88 : 16,295.63 = 16,295.63 : x
  2. Step 2: Convert to fraction form
    7,540.88/16,295.63 = 16,295.63/x
  3. Step 3: Cross multiply
    7,540.88x = 16,295.63 × 16,295.63
  4. Step 4: Simplify right side
    7,540.88x = 265,547,394.14
  5. Step 5: Solve for x
    x = 265,547,394.14/7,540.88
  6. Step 6: Final answer
    x = 35,214.40

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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.