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Finding the Third Proportional to 4,547.00 and 9,894.89

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Solution

The third proportional to 4,547.00 and 9,894.89 is: 21,532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.00 : 9,894.89 = 9,894.89 : x
  2. Step 2: Convert to fraction form
    4,547.00/9,894.89 = 9,894.89/x
  3. Step 3: Cross multiply
    4,547.00x = 9,894.89 × 9,894.89
  4. Step 4: Simplify right side
    4,547.00x = 97,908,918.46
  5. Step 5: Solve for x
    x = 97,908,918.46/4,547.00
  6. Step 6: Final answer
    x = 21,532.66

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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.