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Finding the Third Proportional to 27,137.50 and 58,802.50

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Solution

The third proportional to 27,137.50 and 58,802.50 is: 127,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137.50 : 58,802.50 = 58,802.50 : x
  2. Step 2: Convert to fraction form
    27,137.50/58,802.50 = 58,802.50/x
  3. Step 3: Cross multiply
    27,137.50x = 58,802.50 × 58,802.50
  4. Step 4: Simplify right side
    27,137.50x = 3,457,734,006.25
  5. Step 5: Solve for x
    x = 3,457,734,006.25/27,137.50
  6. Step 6: Final answer
    x = 127,415.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.