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Finding the Third Proportional to 15,032.25 and 40,695.75

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Solution

The third proportional to 15,032.25 and 40,695.75 is: 110,172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032.25 : 40,695.75 = 40,695.75 : x
  2. Step 2: Convert to fraction form
    15,032.25/40,695.75 = 40,695.75/x
  3. Step 3: Cross multiply
    15,032.25x = 40,695.75 × 40,695.75
  4. Step 4: Simplify right side
    15,032.25x = 1,656,144,068.06
  5. Step 5: Solve for x
    x = 1,656,144,068.06/15,032.25
  6. Step 6: Final answer
    x = 110,172.73

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.