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Finding the Third Proportional to 35,430 and 77,052

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Solution

The third proportional to 35,430 and 77,052 is: 167,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,430 : 77,052 = 77,052 : x
  2. Step 2: Convert to fraction form
    35,430/77,052 = 77,052/x
  3. Step 3: Cross multiply
    35,430x = 77,052 × 77,052
  4. Step 4: Simplify right side
    35,430x = 5,937,010,704
  5. Step 5: Solve for x
    x = 5,937,010,704/35,430
  6. Step 6: Final answer
    x = 167,570.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.