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Finding the Third Proportional to 38,475 and 59,059.13

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Solution

The third proportional to 38,475 and 59,059.13 is: 90,655.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475 : 59,059.13 = 59,059.13 : x
  2. Step 2: Convert to fraction form
    38,475/59,059.13 = 59,059.13/x
  3. Step 3: Cross multiply
    38,475x = 59,059.13 × 59,059.13
  4. Step 4: Simplify right side
    38,475x = 3,487,980,245.77
  5. Step 5: Solve for x
    x = 3,487,980,245.77/38,475
  6. Step 6: Final answer
    x = 90,655.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.