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Finding the Third Proportional to 7,416 and 13,009.50

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Solution

The third proportional to 7,416 and 13,009.50 is: 22,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416 : 13,009.50 = 13,009.50 : x
  2. Step 2: Convert to fraction form
    7,416/13,009.50 = 13,009.50/x
  3. Step 3: Cross multiply
    7,416x = 13,009.50 × 13,009.50
  4. Step 4: Simplify right side
    7,416x = 169,247,090.25
  5. Step 5: Solve for x
    x = 169,247,090.25/7,416
  6. Step 6: Final answer
    x = 22,821.88

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.