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Finding the Third Proportional to 15,246 and 22,786.50

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Solution

The third proportional to 15,246 and 22,786.50 is: 34,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,246 : 22,786.50 = 22,786.50 : x
  2. Step 2: Convert to fraction form
    15,246/22,786.50 = 22,786.50/x
  3. Step 3: Cross multiply
    15,246x = 22,786.50 × 22,786.50
  4. Step 4: Simplify right side
    15,246x = 519,224,582.25
  5. Step 5: Solve for x
    x = 519,224,582.25/15,246
  6. Step 6: Final answer
    x = 34,056.45

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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.