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Finding the Third Proportional to 15,782.06 and 34,533.28

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Solution

The third proportional to 15,782.06 and 34,533.28 is: 75,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.06 : 34,533.28 = 34,533.28 : x
  2. Step 2: Convert to fraction form
    15,782.06/34,533.28 = 34,533.28/x
  3. Step 3: Cross multiply
    15,782.06x = 34,533.28 × 34,533.28
  4. Step 4: Simplify right side
    15,782.06x = 1,192,547,513.89
  5. Step 5: Solve for x
    x = 1,192,547,513.89/15,782.06
  6. Step 6: Final answer
    x = 75,563.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.