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Finding the Third Proportional to 5,631.19 and 7,875.56

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Solution

The third proportional to 5,631.19 and 7,875.56 is: 11,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.19 : 7,875.56 = 7,875.56 : x
  2. Step 2: Convert to fraction form
    5,631.19/7,875.56 = 7,875.56/x
  3. Step 3: Cross multiply
    5,631.19x = 7,875.56 × 7,875.56
  4. Step 4: Simplify right side
    5,631.19x = 62,024,484.69
  5. Step 5: Solve for x
    x = 62,024,484.69/5,631.19
  6. Step 6: Final answer
    x = 11,014.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.