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Finding the Third Proportional to 14,842.50 and 35,038.50

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Solution

The third proportional to 14,842.50 and 35,038.50 is: 82,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.50 : 35,038.50 = 35,038.50 : x
  2. Step 2: Convert to fraction form
    14,842.50/35,038.50 = 35,038.50/x
  3. Step 3: Cross multiply
    14,842.50x = 35,038.50 × 35,038.50
  4. Step 4: Simplify right side
    14,842.50x = 1,227,696,482.25
  5. Step 5: Solve for x
    x = 1,227,696,482.25/14,842.50
  6. Step 6: Final answer
    x = 82,714.94

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.