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Finding the Third Proportional to 15,130.50 and 32,345.63

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Solution

The third proportional to 15,130.50 and 32,345.63 is: 69,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.50 : 32,345.63 = 32,345.63 : x
  2. Step 2: Convert to fraction form
    15,130.50/32,345.63 = 32,345.63/x
  3. Step 3: Cross multiply
    15,130.50x = 32,345.63 × 32,345.63
  4. Step 4: Simplify right side
    15,130.50x = 1,046,239,456.64
  5. Step 5: Solve for x
    x = 1,046,239,456.64/15,130.50
  6. Step 6: Final answer
    x = 69,147.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.