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Finding the Third Proportional to 8,978.48 and 14,210.02

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Solution

The third proportional to 8,978.48 and 14,210.02 is: 22,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978.48 : 14,210.02 = 14,210.02 : x
  2. Step 2: Convert to fraction form
    8,978.48/14,210.02 = 14,210.02/x
  3. Step 3: Cross multiply
    8,978.48x = 14,210.02 × 14,210.02
  4. Step 4: Simplify right side
    8,978.48x = 201,924,544.06
  5. Step 5: Solve for x
    x = 201,924,544.06/8,978.48
  6. Step 6: Final answer
    x = 22,489.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.