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Finding the Third Proportional to 5,875.50 and 9,102.25

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Solution

The third proportional to 5,875.50 and 9,102.25 is: 14,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.50 : 9,102.25 = 9,102.25 : x
  2. Step 2: Convert to fraction form
    5,875.50/9,102.25 = 9,102.25/x
  3. Step 3: Cross multiply
    5,875.50x = 9,102.25 × 9,102.25
  4. Step 4: Simplify right side
    5,875.50x = 82,850,955.06
  5. Step 5: Solve for x
    x = 82,850,955.06/5,875.50
  6. Step 6: Final answer
    x = 14,101.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.