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Finding the Third Proportional to 22,374 and 32,014

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Solution

The third proportional to 22,374 and 32,014 is: 45,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,374 : 32,014 = 32,014 : x
  2. Step 2: Convert to fraction form
    22,374/32,014 = 32,014/x
  3. Step 3: Cross multiply
    22,374x = 32,014 × 32,014
  4. Step 4: Simplify right side
    22,374x = 1,024,896,196
  5. Step 5: Solve for x
    x = 1,024,896,196/22,374
  6. Step 6: Final answer
    x = 45,807.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.