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Finding the Third Proportional to 6,547 and 15,445

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Solution

The third proportional to 6,547 and 15,445 is: 36,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547 : 15,445 = 15,445 : x
  2. Step 2: Convert to fraction form
    6,547/15,445 = 15,445/x
  3. Step 3: Cross multiply
    6,547x = 15,445 × 15,445
  4. Step 4: Simplify right side
    6,547x = 238,548,025
  5. Step 5: Solve for x
    x = 238,548,025/6,547
  6. Step 6: Final answer
    x = 36,436.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.