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Finding the Third Proportional to 34,748 and 74,900

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Solution

The third proportional to 34,748 and 74,900 is: 161,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,748 : 74,900 = 74,900 : x
  2. Step 2: Convert to fraction form
    34,748/74,900 = 74,900/x
  3. Step 3: Cross multiply
    34,748x = 74,900 × 74,900
  4. Step 4: Simplify right side
    34,748x = 5,610,010,000
  5. Step 5: Solve for x
    x = 5,610,010,000/34,748
  6. Step 6: Final answer
    x = 161,448.43

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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.