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Finding the Third Proportional to 19,502 and 42,117

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Solution

The third proportional to 19,502 and 42,117 is: 90,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502 : 42,117 = 42,117 : x
  2. Step 2: Convert to fraction form
    19,502/42,117 = 42,117/x
  3. Step 3: Cross multiply
    19,502x = 42,117 × 42,117
  4. Step 4: Simplify right side
    19,502x = 1,773,841,689
  5. Step 5: Solve for x
    x = 1,773,841,689/19,502
  6. Step 6: Final answer
    x = 90,956.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.