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Finding the Third Proportional to 22,502.50 and 35,586

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Solution

The third proportional to 22,502.50 and 35,586 is: 56,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.50 : 35,586 = 35,586 : x
  2. Step 2: Convert to fraction form
    22,502.50/35,586 = 35,586/x
  3. Step 3: Cross multiply
    22,502.50x = 35,586 × 35,586
  4. Step 4: Simplify right side
    22,502.50x = 1,266,363,396
  5. Step 5: Solve for x
    x = 1,266,363,396/22,502.50
  6. Step 6: Final answer
    x = 56,276.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.