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Finding the Third Proportional to 14,668.17 and 31,547.60

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Solution

The third proportional to 14,668.17 and 31,547.60 is: 67,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,668.17 : 31,547.60 = 31,547.60 : x
  2. Step 2: Convert to fraction form
    14,668.17/31,547.60 = 31,547.60/x
  3. Step 3: Cross multiply
    14,668.17x = 31,547.60 × 31,547.60
  4. Step 4: Simplify right side
    14,668.17x = 995,251,164.35
  5. Step 5: Solve for x
    x = 995,251,164.35/14,668.17
  6. Step 6: Final answer
    x = 67,851.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.