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Finding the Third Proportional to 37,235.95 and 79,802.72

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Solution

The third proportional to 37,235.95 and 79,802.72 is: 171,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,235.95 : 79,802.72 = 79,802.72 : x
  2. Step 2: Convert to fraction form
    37,235.95/79,802.72 = 79,802.72/x
  3. Step 3: Cross multiply
    37,235.95x = 79,802.72 × 79,802.72
  4. Step 4: Simplify right side
    37,235.95x = 6,368,473,919.89
  5. Step 5: Solve for x
    x = 6,368,473,919.89/37,235.95
  6. Step 6: Final answer
    x = 171,030.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.