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Finding the Third Proportional to 15,602.63 and 32,241.38

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Solution

The third proportional to 15,602.63 and 32,241.38 is: 66,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,602.63 : 32,241.38 = 32,241.38 : x
  2. Step 2: Convert to fraction form
    15,602.63/32,241.38 = 32,241.38/x
  3. Step 3: Cross multiply
    15,602.63x = 32,241.38 × 32,241.38
  4. Step 4: Simplify right side
    15,602.63x = 1,039,506,261.89
  5. Step 5: Solve for x
    x = 1,039,506,261.89/15,602.63
  6. Step 6: Final answer
    x = 66,623.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.