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Finding the Third Proportional to 7,047 and 15,246

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Solution

The third proportional to 7,047 and 15,246 is: 32,984.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047 : 15,246 = 15,246 : x
  2. Step 2: Convert to fraction form
    7,047/15,246 = 15,246/x
  3. Step 3: Cross multiply
    7,047x = 15,246 × 15,246
  4. Step 4: Simplify right side
    7,047x = 232,440,516
  5. Step 5: Solve for x
    x = 232,440,516/7,047
  6. Step 6: Final answer
    x = 32,984.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.