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Finding the Third Proportional to 13,374 and 31,097.25

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Solution

The third proportional to 13,374 and 31,097.25 is: 72,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374 : 31,097.25 = 31,097.25 : x
  2. Step 2: Convert to fraction form
    13,374/31,097.25 = 31,097.25/x
  3. Step 3: Cross multiply
    13,374x = 31,097.25 × 31,097.25
  4. Step 4: Simplify right side
    13,374x = 967,038,957.56
  5. Step 5: Solve for x
    x = 967,038,957.56/13,374
  6. Step 6: Final answer
    x = 72,307.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.