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Finding the Third Proportional to 29,387.81 and 41,985.84

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Solution

The third proportional to 29,387.81 and 41,985.84 is: 59,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,387.81 : 41,985.84 = 41,985.84 : x
  2. Step 2: Convert to fraction form
    29,387.81/41,985.84 = 41,985.84/x
  3. Step 3: Cross multiply
    29,387.81x = 41,985.84 × 41,985.84
  4. Step 4: Simplify right side
    29,387.81x = 1,762,811,075.40
  5. Step 5: Solve for x
    x = 1,762,811,075.40/29,387.81
  6. Step 6: Final answer
    x = 59,984.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.