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Finding the Third Proportional to 15,880.90 and 23,382.58

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Solution

The third proportional to 15,880.90 and 23,382.58 is: 34,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,880.90 : 23,382.58 = 23,382.58 : x
  2. Step 2: Convert to fraction form
    15,880.90/23,382.58 = 23,382.58/x
  3. Step 3: Cross multiply
    15,880.90x = 23,382.58 × 23,382.58
  4. Step 4: Simplify right side
    15,880.90x = 546,745,051.11
  5. Step 5: Solve for x
    x = 546,745,051.11/15,880.90
  6. Step 6: Final answer
    x = 34,427.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.