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Finding the Third Proportional to 19,232 and 42,640

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Solution

The third proportional to 19,232 and 42,640 is: 94,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232 : 42,640 = 42,640 : x
  2. Step 2: Convert to fraction form
    19,232/42,640 = 42,640/x
  3. Step 3: Cross multiply
    19,232x = 42,640 × 42,640
  4. Step 4: Simplify right side
    19,232x = 1,818,169,600
  5. Step 5: Solve for x
    x = 1,818,169,600/19,232
  6. Step 6: Final answer
    x = 94,538.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.