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Finding the Third Proportional to 16,470 and 32,114.25

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Solution

The third proportional to 16,470 and 32,114.25 is: 62,618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470 : 32,114.25 = 32,114.25 : x
  2. Step 2: Convert to fraction form
    16,470/32,114.25 = 32,114.25/x
  3. Step 3: Cross multiply
    16,470x = 32,114.25 × 32,114.25
  4. Step 4: Simplify right side
    16,470x = 1,031,325,053.06
  5. Step 5: Solve for x
    x = 1,031,325,053.06/16,470
  6. Step 6: Final answer
    x = 62,618.40

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.