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Finding the Third Proportional to 15,730.50 and 34,957.50

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Solution

The third proportional to 15,730.50 and 34,957.50 is: 77,685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.50 : 34,957.50 = 34,957.50 : x
  2. Step 2: Convert to fraction form
    15,730.50/34,957.50 = 34,957.50/x
  3. Step 3: Cross multiply
    15,730.50x = 34,957.50 × 34,957.50
  4. Step 4: Simplify right side
    15,730.50x = 1,222,026,806.25
  5. Step 5: Solve for x
    x = 1,222,026,806.25/15,730.50
  6. Step 6: Final answer
    x = 77,685.19

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.