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Finding the Third Proportional to 15,148.88 and 32,717.63

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Solution

The third proportional to 15,148.88 and 32,717.63 is: 70,661.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,148.88 : 32,717.63 = 32,717.63 : x
  2. Step 2: Convert to fraction form
    15,148.88/32,717.63 = 32,717.63/x
  3. Step 3: Cross multiply
    15,148.88x = 32,717.63 × 32,717.63
  4. Step 4: Simplify right side
    15,148.88x = 1,070,442,985.64
  5. Step 5: Solve for x
    x = 1,070,442,985.64/15,148.88
  6. Step 6: Final answer
    x = 70,661.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.