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Finding the Third Proportional to 37,858.50 and 59,397.05

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Solution

The third proportional to 37,858.50 and 59,397.05 is: 93,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,858.50 : 59,397.05 = 59,397.05 : x
  2. Step 2: Convert to fraction form
    37,858.50/59,397.05 = 59,397.05/x
  3. Step 3: Cross multiply
    37,858.50x = 59,397.05 × 59,397.05
  4. Step 4: Simplify right side
    37,858.50x = 3,528,009,177.47
  5. Step 5: Solve for x
    x = 3,528,009,177.47/37,858.50
  6. Step 6: Final answer
    x = 93,189.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.