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Finding the Third Proportional to 15,117 and 32,823.75

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Solution

The third proportional to 15,117 and 32,823.75 is: 71,270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117 : 32,823.75 = 32,823.75 : x
  2. Step 2: Convert to fraction form
    15,117/32,823.75 = 32,823.75/x
  3. Step 3: Cross multiply
    15,117x = 32,823.75 × 32,823.75
  4. Step 4: Simplify right side
    15,117x = 1,077,398,564.06
  5. Step 5: Solve for x
    x = 1,077,398,564.06/15,117
  6. Step 6: Final answer
    x = 71,270.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.