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Finding the Third Proportional to 15,719.06 and 23,365.02

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Solution

The third proportional to 15,719.06 and 23,365.02 is: 34,730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,719.06 : 23,365.02 = 23,365.02 : x
  2. Step 2: Convert to fraction form
    15,719.06/23,365.02 = 23,365.02/x
  3. Step 3: Cross multiply
    15,719.06x = 23,365.02 × 23,365.02
  4. Step 4: Simplify right side
    15,719.06x = 545,924,137.70
  5. Step 5: Solve for x
    x = 545,924,137.70/15,719.06
  6. Step 6: Final answer
    x = 34,730.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.