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Finding the Third Proportional to 47,352 and 70,702

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Solution

The third proportional to 47,352 and 70,702 is: 105,566.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,352 : 70,702 = 70,702 : x
  2. Step 2: Convert to fraction form
    47,352/70,702 = 70,702/x
  3. Step 3: Cross multiply
    47,352x = 70,702 × 70,702
  4. Step 4: Simplify right side
    47,352x = 4,998,772,804
  5. Step 5: Solve for x
    x = 4,998,772,804/47,352
  6. Step 6: Final answer
    x = 105,566.24

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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.