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Finding the Third Proportional to 34,417.50 and 46,441.50

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Solution

The third proportional to 34,417.50 and 46,441.50 is: 62,666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,417.50 : 46,441.50 = 46,441.50 : x
  2. Step 2: Convert to fraction form
    34,417.50/46,441.50 = 46,441.50/x
  3. Step 3: Cross multiply
    34,417.50x = 46,441.50 × 46,441.50
  4. Step 4: Simplify right side
    34,417.50x = 2,156,812,922.25
  5. Step 5: Solve for x
    x = 2,156,812,922.25/34,417.50
  6. Step 6: Final answer
    x = 62,666.17

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.