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Finding the Third Proportional to 28,746 and 46,156.50

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Solution

The third proportional to 28,746 and 46,156.50 is: 74,111.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,746 : 46,156.50 = 46,156.50 : x
  2. Step 2: Convert to fraction form
    28,746/46,156.50 = 46,156.50/x
  3. Step 3: Cross multiply
    28,746x = 46,156.50 × 46,156.50
  4. Step 4: Simplify right side
    28,746x = 2,130,422,492.25
  5. Step 5: Solve for x
    x = 2,130,422,492.25/28,746
  6. Step 6: Final answer
    x = 74,111.96

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.