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Finding the Third Proportional to 35,762.06 and 52,547.63

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Solution

The third proportional to 35,762.06 and 52,547.63 is: 77,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.06 : 52,547.63 = 52,547.63 : x
  2. Step 2: Convert to fraction form
    35,762.06/52,547.63 = 52,547.63/x
  3. Step 3: Cross multiply
    35,762.06x = 52,547.63 × 52,547.63
  4. Step 4: Simplify right side
    35,762.06x = 2,761,252,893.14
  5. Step 5: Solve for x
    x = 2,761,252,893.14/35,762.06
  6. Step 6: Final answer
    x = 77,211.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.