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Finding the Third Proportional to 9,875.67 and 14,978.67

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Solution

The third proportional to 9,875.67 and 14,978.67 is: 22,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.67 : 14,978.67 = 14,978.67 : x
  2. Step 2: Convert to fraction form
    9,875.67/14,978.67 = 14,978.67/x
  3. Step 3: Cross multiply
    9,875.67x = 14,978.67 × 14,978.67
  4. Step 4: Simplify right side
    9,875.67x = 224,360,611.14
  5. Step 5: Solve for x
    x = 224,360,611.14/9,875.67
  6. Step 6: Final answer
    x = 22,718.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.