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Finding the Third Proportional to 34,802.16 and 52,112.11

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Solution

The third proportional to 34,802.16 and 52,112.11 is: 78,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,802.16 : 52,112.11 = 52,112.11 : x
  2. Step 2: Convert to fraction form
    34,802.16/52,112.11 = 52,112.11/x
  3. Step 3: Cross multiply
    34,802.16x = 52,112.11 × 52,112.11
  4. Step 4: Simplify right side
    34,802.16x = 2,715,671,943.51
  5. Step 5: Solve for x
    x = 2,715,671,943.51/34,802.16
  6. Step 6: Final answer
    x = 78,031.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.