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Finding the Third Proportional to 52,770 and 70,488

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Solution

The third proportional to 52,770 and 70,488 is: 94,154.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,770 : 70,488 = 70,488 : x
  2. Step 2: Convert to fraction form
    52,770/70,488 = 70,488/x
  3. Step 3: Cross multiply
    52,770x = 70,488 × 70,488
  4. Step 4: Simplify right side
    52,770x = 4,968,558,144
  5. Step 5: Solve for x
    x = 4,968,558,144/52,770
  6. Step 6: Final answer
    x = 94,154.98

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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.