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Finding the Third Proportional to 32,521.50 and 47,547

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Solution

The third proportional to 32,521.50 and 47,547 is: 69,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,521.50 : 47,547 = 47,547 : x
  2. Step 2: Convert to fraction form
    32,521.50/47,547 = 47,547/x
  3. Step 3: Cross multiply
    32,521.50x = 47,547 × 47,547
  4. Step 4: Simplify right side
    32,521.50x = 2,260,717,209
  5. Step 5: Solve for x
    x = 2,260,717,209/32,521.50
  6. Step 6: Final answer
    x = 69,514.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.