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Finding the Third Proportional to 4,514.75 and 10,875.75

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Solution

The third proportional to 4,514.75 and 10,875.75 is: 26,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.75 : 10,875.75 = 10,875.75 : x
  2. Step 2: Convert to fraction form
    4,514.75/10,875.75 = 10,875.75/x
  3. Step 3: Cross multiply
    4,514.75x = 10,875.75 × 10,875.75
  4. Step 4: Simplify right side
    4,514.75x = 118,281,938.06
  5. Step 5: Solve for x
    x = 118,281,938.06/4,514.75
  6. Step 6: Final answer
    x = 26,199.00

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.