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Finding the Third Proportional to 10,090 and 13,124.50

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Solution

The third proportional to 10,090 and 13,124.50 is: 17,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090 : 13,124.50 = 13,124.50 : x
  2. Step 2: Convert to fraction form
    10,090/13,124.50 = 13,124.50/x
  3. Step 3: Cross multiply
    10,090x = 13,124.50 × 13,124.50
  4. Step 4: Simplify right side
    10,090x = 172,252,500.25
  5. Step 5: Solve for x
    x = 172,252,500.25/10,090
  6. Step 6: Final answer
    x = 17,071.61

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.