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Finding the Third Proportional to 38,857.13 and 59,045.06

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Solution

The third proportional to 38,857.13 and 59,045.06 is: 89,721.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.13 : 59,045.06 = 59,045.06 : x
  2. Step 2: Convert to fraction form
    38,857.13/59,045.06 = 59,045.06/x
  3. Step 3: Cross multiply
    38,857.13x = 59,045.06 × 59,045.06
  4. Step 4: Simplify right side
    38,857.13x = 3,486,319,405.63
  5. Step 5: Solve for x
    x = 3,486,319,405.63/38,857.13
  6. Step 6: Final answer
    x = 89,721.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.