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Finding the Third Proportional to 36,901.13 and 76,428

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Solution

The third proportional to 36,901.13 and 76,428 is: 158,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,901.13 : 76,428 = 76,428 : x
  2. Step 2: Convert to fraction form
    36,901.13/76,428 = 76,428/x
  3. Step 3: Cross multiply
    36,901.13x = 76,428 × 76,428
  4. Step 4: Simplify right side
    36,901.13x = 5,841,239,184
  5. Step 5: Solve for x
    x = 5,841,239,184/36,901.13
  6. Step 6: Final answer
    x = 158,294.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.