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Finding the Third Proportional to 18,340.50 and 26,646

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Solution

The third proportional to 18,340.50 and 26,646 is: 38,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,340.50 : 26,646 = 26,646 : x
  2. Step 2: Convert to fraction form
    18,340.50/26,646 = 26,646/x
  3. Step 3: Cross multiply
    18,340.50x = 26,646 × 26,646
  4. Step 4: Simplify right side
    18,340.50x = 710,009,316
  5. Step 5: Solve for x
    x = 710,009,316/18,340.50
  6. Step 6: Final answer
    x = 38,712.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.