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Finding the Third Proportional to 7,547 and 16,390.50

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Solution

The third proportional to 7,547 and 16,390.50 is: 35,596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547 : 16,390.50 = 16,390.50 : x
  2. Step 2: Convert to fraction form
    7,547/16,390.50 = 16,390.50/x
  3. Step 3: Cross multiply
    7,547x = 16,390.50 × 16,390.50
  4. Step 4: Simplify right side
    7,547x = 268,648,490.25
  5. Step 5: Solve for x
    x = 268,648,490.25/7,547
  6. Step 6: Final answer
    x = 35,596.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.