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Finding the Third Proportional to 26,466 and 58,117.50

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Solution

The third proportional to 26,466 and 58,117.50 is: 127,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,466 : 58,117.50 = 58,117.50 : x
  2. Step 2: Convert to fraction form
    26,466/58,117.50 = 58,117.50/x
  3. Step 3: Cross multiply
    26,466x = 58,117.50 × 58,117.50
  4. Step 4: Simplify right side
    26,466x = 3,377,643,806.25
  5. Step 5: Solve for x
    x = 3,377,643,806.25/26,466
  6. Step 6: Final answer
    x = 127,622.00

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.