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Finding the Third Proportional to 38,075.06 and 83,257.88

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Solution

The third proportional to 38,075.06 and 83,257.88 is: 182,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,075.06 : 83,257.88 = 83,257.88 : x
  2. Step 2: Convert to fraction form
    38,075.06/83,257.88 = 83,257.88/x
  3. Step 3: Cross multiply
    38,075.06x = 83,257.88 × 83,257.88
  4. Step 4: Simplify right side
    38,075.06x = 6,931,873,749.52
  5. Step 5: Solve for x
    x = 6,931,873,749.52/38,075.06
  6. Step 6: Final answer
    x = 182,058.11

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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.