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Finding the Third Proportional to 7,575 and 11,627.63

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Solution

The third proportional to 7,575 and 11,627.63 is: 17,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575 : 11,627.63 = 11,627.63 : x
  2. Step 2: Convert to fraction form
    7,575/11,627.63 = 11,627.63/x
  3. Step 3: Cross multiply
    7,575x = 11,627.63 × 11,627.63
  4. Step 4: Simplify right side
    7,575x = 135,201,663.14
  5. Step 5: Solve for x
    x = 135,201,663.14/7,575
  6. Step 6: Final answer
    x = 17,848.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.