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Finding the Third Proportional to 19,547.16 and 41,862.23

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Solution

The third proportional to 19,547.16 and 41,862.23 is: 89,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.16 : 41,862.23 = 41,862.23 : x
  2. Step 2: Convert to fraction form
    19,547.16/41,862.23 = 41,862.23/x
  3. Step 3: Cross multiply
    19,547.16x = 41,862.23 × 41,862.23
  4. Step 4: Simplify right side
    19,547.16x = 1,752,446,666.87
  5. Step 5: Solve for x
    x = 1,752,446,666.87/19,547.16
  6. Step 6: Final answer
    x = 89,652.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.