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Finding the Third Proportional to 29,748 and 64,830

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Solution

The third proportional to 29,748 and 64,830 is: 141,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,748 : 64,830 = 64,830 : x
  2. Step 2: Convert to fraction form
    29,748/64,830 = 64,830/x
  3. Step 3: Cross multiply
    29,748x = 64,830 × 64,830
  4. Step 4: Simplify right side
    29,748x = 4,202,928,900
  5. Step 5: Solve for x
    x = 4,202,928,900/29,748
  6. Step 6: Final answer
    x = 141,284.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.