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Finding the Third Proportional to 14,964 and 31,477.50

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Solution

The third proportional to 14,964 and 31,477.50 is: 66,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,964 : 31,477.50 = 31,477.50 : x
  2. Step 2: Convert to fraction form
    14,964/31,477.50 = 31,477.50/x
  3. Step 3: Cross multiply
    14,964x = 31,477.50 × 31,477.50
  4. Step 4: Simplify right side
    14,964x = 990,833,006.25
  5. Step 5: Solve for x
    x = 990,833,006.25/14,964
  6. Step 6: Final answer
    x = 66,214.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.