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Finding the Third Proportional to 34,526.25 and 53,315.72

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Solution

The third proportional to 34,526.25 and 53,315.72 is: 82,330.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,526.25 : 53,315.72 = 53,315.72 : x
  2. Step 2: Convert to fraction form
    34,526.25/53,315.72 = 53,315.72/x
  3. Step 3: Cross multiply
    34,526.25x = 53,315.72 × 53,315.72
  4. Step 4: Simplify right side
    34,526.25x = 2,842,565,865.83
  5. Step 5: Solve for x
    x = 2,842,565,865.83/34,526.25
  6. Step 6: Final answer
    x = 82,330.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.