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Finding the Third Proportional to 29,839.50 and 64,953

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Solution

The third proportional to 29,839.50 and 64,953 is: 141,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.50 : 64,953 = 64,953 : x
  2. Step 2: Convert to fraction form
    29,839.50/64,953 = 64,953/x
  3. Step 3: Cross multiply
    29,839.50x = 64,953 × 64,953
  4. Step 4: Simplify right side
    29,839.50x = 4,218,892,209
  5. Step 5: Solve for x
    x = 4,218,892,209/29,839.50
  6. Step 6: Final answer
    x = 141,386.16

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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.