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Finding the Third Proportional to 11,264.50 and 17,140

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Solution

The third proportional to 11,264.50 and 17,140 is: 26,080.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.50 : 17,140 = 17,140 : x
  2. Step 2: Convert to fraction form
    11,264.50/17,140 = 17,140/x
  3. Step 3: Cross multiply
    11,264.50x = 17,140 × 17,140
  4. Step 4: Simplify right side
    11,264.50x = 293,779,600
  5. Step 5: Solve for x
    x = 293,779,600/11,264.50
  6. Step 6: Final answer
    x = 26,080.13

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