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Finding the Third Proportional to 45,290.25 and 61,502.63

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Solution

The third proportional to 45,290.25 and 61,502.63 is: 83,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,290.25 : 61,502.63 = 61,502.63 : x
  2. Step 2: Convert to fraction form
    45,290.25/61,502.63 = 61,502.63/x
  3. Step 3: Cross multiply
    45,290.25x = 61,502.63 × 61,502.63
  4. Step 4: Simplify right side
    45,290.25x = 3,782,572,881.89
  5. Step 5: Solve for x
    x = 3,782,572,881.89/45,290.25
  6. Step 6: Final answer
    x = 83,518.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.