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Finding the Third Proportional to 37,653.19 and 58,302.28

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Solution

The third proportional to 37,653.19 and 58,302.28 is: 90,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,653.19 : 58,302.28 = 58,302.28 : x
  2. Step 2: Convert to fraction form
    37,653.19/58,302.28 = 58,302.28/x
  3. Step 3: Cross multiply
    37,653.19x = 58,302.28 × 58,302.28
  4. Step 4: Simplify right side
    37,653.19x = 3,399,155,998.95
  5. Step 5: Solve for x
    x = 3,399,155,998.95/37,653.19
  6. Step 6: Final answer
    x = 90,275.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.