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Finding the Third Proportional to 29,641.50 and 64,359

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Solution

The third proportional to 29,641.50 and 64,359 is: 139,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,641.50 : 64,359 = 64,359 : x
  2. Step 2: Convert to fraction form
    29,641.50/64,359 = 64,359/x
  3. Step 3: Cross multiply
    29,641.50x = 64,359 × 64,359
  4. Step 4: Simplify right side
    29,641.50x = 4,142,080,881
  5. Step 5: Solve for x
    x = 4,142,080,881/29,641.50
  6. Step 6: Final answer
    x = 139,739.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.