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Finding the Third Proportional to 7,090.13 and 15,264.19

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Solution

The third proportional to 7,090.13 and 15,264.19 is: 32,861.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.13 : 15,264.19 = 15,264.19 : x
  2. Step 2: Convert to fraction form
    7,090.13/15,264.19 = 15,264.19/x
  3. Step 3: Cross multiply
    7,090.13x = 15,264.19 × 15,264.19
  4. Step 4: Simplify right side
    7,090.13x = 232,995,420.04
  5. Step 5: Solve for x
    x = 232,995,420.04/7,090.13
  6. Step 6: Final answer
    x = 32,861.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.