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Finding the Third Proportional to 14,701 and 32,045.50

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Solution

The third proportional to 14,701 and 32,045.50 is: 69,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,701 : 32,045.50 = 32,045.50 : x
  2. Step 2: Convert to fraction form
    14,701/32,045.50 = 32,045.50/x
  3. Step 3: Cross multiply
    14,701x = 32,045.50 × 32,045.50
  4. Step 4: Simplify right side
    14,701x = 1,026,914,070.25
  5. Step 5: Solve for x
    x = 1,026,914,070.25/14,701
  6. Step 6: Final answer
    x = 69,853.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.