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Finding the Third Proportional to 15,698.63 and 23,548.13

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Solution

The third proportional to 15,698.63 and 23,548.13 is: 35,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.63 : 23,548.13 = 23,548.13 : x
  2. Step 2: Convert to fraction form
    15,698.63/23,548.13 = 23,548.13/x
  3. Step 3: Cross multiply
    15,698.63x = 23,548.13 × 23,548.13
  4. Step 4: Simplify right side
    15,698.63x = 554,514,191.02
  5. Step 5: Solve for x
    x = 554,514,191.02/15,698.63
  6. Step 6: Final answer
    x = 35,322.47

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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.