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Finding the Third Proportional to 19,391 and 42,710

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Solution

The third proportional to 19,391 and 42,710 is: 94,071.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391 : 42,710 = 42,710 : x
  2. Step 2: Convert to fraction form
    19,391/42,710 = 42,710/x
  3. Step 3: Cross multiply
    19,391x = 42,710 × 42,710
  4. Step 4: Simplify right side
    19,391x = 1,824,144,100
  5. Step 5: Solve for x
    x = 1,824,144,100/19,391
  6. Step 6: Final answer
    x = 94,071.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.