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Finding the Third Proportional to 23,292.63 and 32,927.38

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Solution

The third proportional to 23,292.63 and 32,927.38 is: 46,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,292.63 : 32,927.38 = 32,927.38 : x
  2. Step 2: Convert to fraction form
    23,292.63/32,927.38 = 32,927.38/x
  3. Step 3: Cross multiply
    23,292.63x = 32,927.38 × 32,927.38
  4. Step 4: Simplify right side
    23,292.63x = 1,084,212,024.39
  5. Step 5: Solve for x
    x = 1,084,212,024.39/23,292.63
  6. Step 6: Final answer
    x = 46,547.44

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.