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Finding the Third Proportional to 47,316 and 70,650

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Solution

The third proportional to 47,316 and 70,650 is: 105,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,316 : 70,650 = 70,650 : x
  2. Step 2: Convert to fraction form
    47,316/70,650 = 70,650/x
  3. Step 3: Cross multiply
    47,316x = 70,650 × 70,650
  4. Step 4: Simplify right side
    47,316x = 4,991,422,500
  5. Step 5: Solve for x
    x = 4,991,422,500/47,316
  6. Step 6: Final answer
    x = 105,491.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.