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Finding the Third Proportional to 38,130 and 83,646

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Solution

The third proportional to 38,130 and 83,646 is: 183,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,130 : 83,646 = 83,646 : x
  2. Step 2: Convert to fraction form
    38,130/83,646 = 83,646/x
  3. Step 3: Cross multiply
    38,130x = 83,646 × 83,646
  4. Step 4: Simplify right side
    38,130x = 6,996,653,316
  5. Step 5: Solve for x
    x = 6,996,653,316/38,130
  6. Step 6: Final answer
    x = 183,494.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.