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Finding the Third Proportional to 35,520 and 53,088

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Solution

The third proportional to 35,520 and 53,088 is: 79,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,520 : 53,088 = 53,088 : x
  2. Step 2: Convert to fraction form
    35,520/53,088 = 53,088/x
  3. Step 3: Cross multiply
    35,520x = 53,088 × 53,088
  4. Step 4: Simplify right side
    35,520x = 2,818,335,744
  5. Step 5: Solve for x
    x = 2,818,335,744/35,520
  6. Step 6: Final answer
    x = 79,345.04

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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.