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Finding the Third Proportional to 19,430 and 42,748

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Solution

The third proportional to 19,430 and 42,748 is: 94,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,430 : 42,748 = 42,748 : x
  2. Step 2: Convert to fraction form
    19,430/42,748 = 42,748/x
  3. Step 3: Cross multiply
    19,430x = 42,748 × 42,748
  4. Step 4: Simplify right side
    19,430x = 1,827,391,504
  5. Step 5: Solve for x
    x = 1,827,391,504/19,430
  6. Step 6: Final answer
    x = 94,050.00

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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.