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Finding the Third Proportional to 35,547 and 47,700

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Solution

The third proportional to 35,547 and 47,700 is: 64,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,547 : 47,700 = 47,700 : x
  2. Step 2: Convert to fraction form
    35,547/47,700 = 47,700/x
  3. Step 3: Cross multiply
    35,547x = 47,700 × 47,700
  4. Step 4: Simplify right side
    35,547x = 2,275,290,000
  5. Step 5: Solve for x
    x = 2,275,290,000/35,547
  6. Step 6: Final answer
    x = 64,007.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.