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Finding the Third Proportional to 15,710.63 and 34,245.28

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Solution

The third proportional to 15,710.63 and 34,245.28 is: 74,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.63 : 34,245.28 = 34,245.28 : x
  2. Step 2: Convert to fraction form
    15,710.63/34,245.28 = 34,245.28/x
  3. Step 3: Cross multiply
    15,710.63x = 34,245.28 × 34,245.28
  4. Step 4: Simplify right side
    15,710.63x = 1,172,739,287.89
  5. Step 5: Solve for x
    x = 1,172,739,287.89/15,710.63
  6. Step 6: Final answer
    x = 74,646.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.